68:@0.067867:0.963104:0.095634:0.963104:0.095634:0.941283:0.067867:0.941283:0.000000:0.000000
Matemática:@0.120102:0.956142:0.204868:0.956142:0.204868:0.943479:0.120102:0.943479:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.º BG:@0.120102:0.967458:0.162238:0.967458:0.162238:0.954794:0.120102:0.954794:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
isposición y compromiso:@0.306727:0.140863:0.485691:0.140863:0.485691:0.125499:0.306727:0.125499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
D:@0.284763:0.141649:0.297589:0.141649:0.297589:0.124513:0.284763:0.124513:0.000000
Patrón.:@0.075099:0.565284:0.124401:0.565284:0.124401:0.550171:0.075099:0.550171:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 modelo que sirve :@0.124401:0.565284:0.248283:0.565284:0.248283:0.550385:0.124401:0.550385:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de muestra para sacar :@0.098385:0.580371:0.248285:0.580371:0.248285:0.565472:0.098385:0.565472:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
otra cosa igual.:@0.145007:0.595459:0.244615:0.595459:0.244615:0.580560:0.145007:0.580560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
    Comunicacional:@0.101398:0.532842:0.237458:0.532842:0.237458:0.515941:0.101398:0.515941:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sucesión numérica real:@0.287495:0.447527:0.521300:0.447527:0.521300:0.426018:0.287495:0.426018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una sucesión numérica es un conjunto ordenado de números que siguen una regla :@0.287495:0.470309:0.907643:0.470309:0.907643:0.453920:0.287495:0.453920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
o :@0.287495:0.486905:0.301335:0.486905:0.301335:0.470516:0.287495:0.470516:0.000000:0.000000
patrón:@0.301335:0.486905:0.352914:0.486905:0.352914:0.470281:0.301335:0.470281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 determinado. Cada número en la sucesión se denomina término. :@0.352914:0.486905:0.836652:0.486905:0.836652:0.470516:0.352914:0.470516:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Una sucesión numérica real es una secuencia ordenada de números reales, es decir, :@0.287495:0.510624:0.907641:0.510624:0.907641:0.494235:0.287495:0.494235:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una función  ::@0.287495:0.527220:0.393310:0.527633:0.393310:0.511244:0.287495:0.510831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
f:@0.379950:0.527633:0.384649:0.527633:0.384649:0.511271:0.379950:0.511271:0.000000
N:@0.396812:0.530648:0.410116:0.530648:0.410116:0.510234:0.396812:0.510234:0.000000
R:@0.434975:0.530648:0.448280:0.530648:0.448280:0.510234:0.434975:0.510234:0.000000
→:@0.413562:0.528310:0.431750:0.528310:0.431750:0.512737:0.413562:0.512737:0.000000
Cada elemento de la sucesión se denota con  , donde   es el índicede la sucesión :@0.287495:0.550951:0.907718:0.550951:0.907718:0.534562:0.287495:0.534562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.625512:0.550951:0.634781:0.550951:0.634781:0.534589:0.625512:0.534589:0.000000
n:@0.634734:0.554114:0.640278:0.554114:0.640278:0.544576:0.634734:0.544576:0.000000
n:@0.701623:0.550951:0.711132:0.550951:0.711132:0.534589:0.701623:0.534589:0.000000
(el número natural que indica la posición de un término);   =  ( ).:@0.287499:0.567547:0.769755:0.567547:0.769755:0.551158:0.287499:0.551158:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.708712:0.567547:0.717981:0.567547:0.717981:0.551186:0.708712:0.551186:0.000000
n:@0.717977:0.570711:0.723520:0.570711:0.723520:0.561172:0.717977:0.561172:0.000000
f n:@0.742574:0.567547:0.761665:0.567547:0.761665:0.551186:0.742574:0.551186:0.000000:0.000000:0.000000
Entonces, una sucesión real es una sucesión de la forma  ,:@0.287504:0.591266:0.719826:0.591272:0.719826:0.574883:0.287504:0.574877:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aa a:@0.702747:0.591272:0.761436:0.591272:0.761436:0.574911:0.702747:0.574911:0.000000:0.000000:0.000000:0.000000
a:@0.791952:0.591272:0.801221:0.591272:0.801221:0.574911:0.791952:0.574911:0.000000
n:@0.800904:0.593276:0.806415:0.593276:0.806415:0.583794:0.800904:0.583794:0.000000
1:@0.710864:0.593276:0.716076:0.593276:0.716076:0.583778:0.710864:0.583778:0.000000
2:@0.735161:0.593276:0.740372:0.593276:0.740372:0.583778:0.735161:0.583778:0.000000
3:@0.760963:0.593276:0.766174:0.593276:0.766174:0.583778:0.760963:0.583778:0.000000
,:@0.742437:0.591272:0.745643:0.591272:0.745643:0.574883:0.742437:0.574883:0.000000
,...,:@0.768254:0.591272:0.785392:0.591272:0.785392:0.574883:0.768254:0.574883:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.787916:0.591272:0.791952:0.591272:0.791952:0.574883:0.787916:0.574883:0.000000
Fórmula general de una sucesión numérica:@0.287495:0.623947:0.658952:0.623947:0.658952:0.605510:0.287495:0.605510:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es una expresión matemática que permite encontrar cualquier término de la suce-:@0.287495:0.647357:0.903642:0.647357:0.903642:0.630968:0.287495:0.630968:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sión a partir de su índice  , sin tener que escribir todos los términos anteriores.:@0.287495:0.663953:0.860567:0.663953:0.860567:0.647564:0.287495:0.647564:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.470296:0.663953:0.479804:0.663953:0.479804:0.647592:0.470296:0.647592:0.000000
Sumatoria:@0.287495:0.694808:0.369812:0.694808:0.369812:0.677908:0.287495:0.677908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La sumatoria (o notación sigma) es un operador matemático que permite representar :@0.287495:0.714973:0.907598:0.714973:0.907598:0.698584:0.287495:0.698584:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de manera compacta la suma de una sucesión de términos. Se denota con la letra :@0.287495:0.731569:0.907657:0.731569:0.907657:0.715180:0.287495:0.715180:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
griega mayúscula sigma (Σ) y se define de la siguiente manera::@0.287495:0.748166:0.745415:0.748166:0.745415:0.731777:0.287495:0.731777:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.311996:0.780685:0.321265:0.780685:0.321265:0.764323:0.311996:0.764323:0.000000
a:@0.342420:0.780685:0.351689:0.780685:0.351689:0.764323:0.342420:0.764323:0.000000
a:@0.377543:0.780685:0.386812:0.780685:0.386812:0.764323:0.377543:0.764323:0.000000
a:@0.422506:0.780685:0.431775:0.780685:0.431775:0.764323:0.422506:0.764323:0.000000
a:@0.494448:0.780685:0.503717:0.780685:0.503717:0.764323:0.494448:0.764323:0.000000
i:@0.320791:0.782688:0.322991:0.782688:0.322991:0.773206:0.320791:0.773206:0.000000
im:@0.291059:0.792355:0.309385:0.792355:0.309385:0.782873:0.291059:0.782873:0.000000:0.000000
n:@0.297552:0.765207:0.303063:0.765207:0.303063:0.755725:0.297552:0.755725:0.000000
m:@0.351367:0.782688:0.359846:0.782688:0.359846:0.773206:0.351367:0.773206:0.000000
m:@0.386492:0.782688:0.394972:0.782688:0.394972:0.773206:0.386492:0.773206:0.000000
m:@0.431460:0.782688:0.439940:0.782688:0.439940:0.773206:0.431460:0.773206:0.000000
n:@0.503388:0.782688:0.508899:0.782688:0.508899:0.773206:0.503388:0.773206:0.000000
=:@0.294458:0.792746:0.300321:0.792746:0.300321:0.783721:0.294458:0.783721:0.000000
+:@0.395391:0.783080:0.401254:0.783080:0.401254:0.774054:0.395391:0.774054:0.000000
+:@0.440363:0.783080:0.446226:0.783080:0.446226:0.774054:0.440363:0.774054:0.000000
∑:@0.290427:0.786612:0.310135:0.786612:0.310135:0.763253:0.290427:0.763253:0.000000
=:@0.329113:0.781362:0.339230:0.781362:0.339230:0.765789:0.329113:0.765789:0.000000
+:@0.364550:0.781362:0.374667:0.781362:0.374667:0.765789:0.364550:0.765789:0.000000
+:@0.409532:0.781362:0.419648:0.781362:0.419648:0.765789:0.409532:0.765789:0.000000
+ +:@0.456706:0.781362:0.491571:0.781362:0.491571:0.765789:0.456706:0.765789:0.000000:0.000000:0.000000
1:@0.401149:0.782688:0.406360:0.782688:0.406360:0.773190:0.401149:0.773190:0.000000
2:@0.446804:0.782688:0.452016:0.782688:0.452016:0.773190:0.446804:0.773190:0.000000
...:@0.469101:0.780685:0.478573:0.780685:0.478573:0.764296:0.469101:0.764296:0.000000:0.000000:0.000000
En donde::@0.287495:0.820754:0.361869:0.820754:0.361869:0.804365:0.287495:0.804365:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
i:@0.287495:0.840918:0.291292:0.840918:0.291292:0.824557:0.287495:0.824557:0.000000
: índice de la suma (variable que toma valores enteros desde   hasta  ).:@0.291292:0.840918:0.815901:0.840918:0.815901:0.824529:0.291292:0.824529:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
m:@0.736422:0.840918:0.751054:0.840918:0.751054:0.824557:0.736422:0.824557:0.000000
n:@0.798302:0.840918:0.807811:0.840918:0.807811:0.824557:0.798302:0.824557:0.000000
m:@0.287495:0.864637:0.302127:0.864637:0.302127:0.848276:0.287495:0.848276:0.000000
: límite inferior (valor inicial del índice).:@0.302127:0.864637:0.581009:0.864637:0.581009:0.848248:0.302127:0.848248:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.287495:0.888356:0.297004:0.888356:0.297004:0.871995:0.287495:0.871995:0.000000
: límite superior (valor final del índice).:@0.297004:0.888356:0.573583:0.888356:0.573583:0.871967:0.297004:0.871967:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.287495:0.912075:0.296765:0.912075:0.296765:0.895714:0.287495:0.895714:0.000000
i:@0.296765:0.915251:0.298978:0.915251:0.298978:0.905712:0.296765:0.905712:0.000000
: término general de la suma (expresión que depende del índice i).:@0.298978:0.912086:0.783711:0.912086:0.783711:0.895697:0.298978:0.895697:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nidad de conocimientos:@0.306727:0.416399:0.480398:0.416399:0.480398:0.401035:0.306727:0.401035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.417185:0.297460:0.417185:0.297460:0.400049:0.284892:0.400049:0.000000
Pienso y progreso:@0.294883:0.364864:0.417347:0.364864:0.417347:0.349499:0.294883:0.349499:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Por qué crees que es importante la forestación?:@0.294883:0.383516:0.617161:0.383516:0.617161:0.368617:0.294883:0.368617:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Un campamento ecológico está organizando la reforestación de un bosque y planifica :@0.287495:0.168345:0.907694:0.168345:0.907694:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la plantación de árboles de acuerdo con el siguiente cronograma::@0.287495:0.184941:0.767897:0.184941:0.767897:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.315985:0.275046:0.330893:0.275046:0.330893:0.258145:0.315985:0.258145:0.000000:0.000000
  ¿Podrías determinar una fórmula general para calcular el número de árboles :@0.330893:0.275046:0.907620:0.275046:0.907620:0.258657:0.330893:0.258657:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a plantar en cualquier semana, siguiendo el mismo patrón?:@0.344474:0.291642:0.777497:0.291642:0.777497:0.275253:0.344474:0.275253:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.315985:0.315361:0.332201:0.315361:0.332201:0.298461:0.315985:0.298461:0.000000:0.000000
  ¿Cuántos árboles plantarán en la sexta semana si siguen el mismo patrón?:@0.332201:0.315361:0.886665:0.315361:0.886665:0.298972:0.332201:0.298972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.315985:0.339080:0.329805:0.339080:0.329805:0.322180:0.315985:0.322180:0.000000:0.000000
  ¿Cuántos árboles en total se plantarán durante 7 semanas?:@0.329805:0.339080:0.774532:0.339080:0.774532:0.322691:0.329805:0.322691:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.287495:0.205991:0.293263:0.205991:0.293263:0.189091:0.287495:0.189091:0.000000
 :@0.293263:0.205991:0.297299:0.205991:0.297299:0.189602:0.293263:0.189602:0.000000
La primera semana plantan 2 árboles.:@0.315985:0.205991:0.583167:0.205991:0.583167:0.189602:0.315985:0.189602:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.287495:0.229710:0.293263:0.229710:0.293263:0.212810:0.287495:0.212810:0.000000
 :@0.293263:0.229710:0.297299:0.229710:0.297299:0.213321:0.293263:0.213321:0.000000
La segunda semana, 5 árboles.:@0.315985:0.229710:0.538996:0.229710:0.538996:0.213321:0.315985:0.213321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.287495:0.253429:0.293263:0.253429:0.293263:0.236528:0.287495:0.236528:0.000000
 :@0.293263:0.253429:0.297299:0.253429:0.297299:0.237040:0.293263:0.237040:0.000000
La tercera semana, 10 árboles.:@0.315985:0.253429:0.534809:0.253429:0.534809:0.237040:0.315985:0.237040:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.605612:0.205977:0.611380:0.205977:0.611380:0.189077:0.605612:0.189077:0.000000
 :@0.611380:0.205977:0.615415:0.205977:0.615415:0.189588:0.611380:0.189588:0.000000
La cuarta semana, 17 árboles.:@0.634101:0.205977:0.848562:0.205977:0.848562:0.189588:0.634101:0.189588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
•:@0.605612:0.229696:0.611380:0.229696:0.611380:0.212796:0.605612:0.212796:0.000000
 :@0.611380:0.229696:0.615415:0.229696:0.615415:0.213307:0.611380:0.213307:0.000000
La quinta semana, 26 árboles.:@0.634101:0.229696:0.849778:0.229696:0.849778:0.213307:0.634101:0.213307:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sucesiones y sumatorias:@0.286308:0.075160:0.644873:0.075160:0.644873:0.041608:0.286308:0.041608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.094760:0.108603:0.159692:0.108603:0.159692:0.011514:0.094760:0.011514:0.000000
¿Cuál es el resultado de :@0.087950:0.192000:0.247833:0.192000:0.247833:0.177101:0.087950:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sumar los números entre :@0.078234:0.207088:0.247833:0.207088:0.247833:0.192189:0.078234:0.192189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1 y 100?:@0.190374:0.222175:0.244166:0.222175:0.244166:0.207276:0.190374:0.207276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Saberes previos:@0.108521:0.163125:0.227756:0.163125:0.227756:0.146224:0.108521:0.146224:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Monotonía de una :@0.112388:0.714484:0.248820:0.714484:0.248820:0.699120:0.112388:0.699120:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucesión:@0.182514:0.729572:0.245352:0.729572:0.245352:0.714207:0.182514:0.714207:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sucesión creciente:@0.120145:0.748217:0.245350:0.748217:0.245350:0.733318:0.120145:0.733318:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si :@0.171290:0.766863:0.186233:0.766863:0.186233:0.751964:0.171290:0.751964:0.000000:0.000000:0.000000
a:@0.186233:0.766863:0.194659:0.766863:0.194659:0.751989:0.186233:0.751989:0.000000
n:@0.194659:0.769750:0.199698:0.769750:0.199698:0.761079:0.194659:0.761079:0.000000
 + 1:@0.199698:0.769750:0.214563:0.769750:0.214563:0.761064:0.199698:0.761064:0.000000:0.000000:0.000000:0.000000
 ≥ :@0.214562:0.766874:0.231884:0.766874:0.231884:0.751975:0.214562:0.751975:0.000000:0.000000:0.000000
a:@0.231884:0.766874:0.240311:0.766874:0.240311:0.752001:0.231884:0.752001:0.000000
n:@0.240311:0.769750:0.245350:0.769750:0.245350:0.761079:0.240311:0.761079:0.000000
Sucesión estrictamente :@0.089204:0.785526:0.249019:0.785526:0.249019:0.770627:0.089204:0.770627:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
creciente:@0.183721:0.800614:0.245353:0.800614:0.245353:0.785715:0.183721:0.785715:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si :@0.171291:0.819260:0.186234:0.819260:0.186234:0.804361:0.171291:0.804361:0.000000:0.000000:0.000000
a:@0.186234:0.819260:0.194661:0.819260:0.194661:0.804386:0.186234:0.804386:0.000000
n:@0.194659:0.822141:0.199698:0.822141:0.199698:0.813469:0.194659:0.813469:0.000000
 + 1:@0.199698:0.822141:0.214563:0.822141:0.214563:0.813455:0.199698:0.813455:0.000000:0.000000:0.000000:0.000000
 > :@0.214562:0.819265:0.231884:0.819265:0.231884:0.804366:0.214562:0.804366:0.000000:0.000000:0.000000
a:@0.231884:0.819265:0.240311:0.819265:0.240311:0.804391:0.231884:0.804391:0.000000
n:@0.240311:0.822141:0.245350:0.822141:0.245350:0.813469:0.240311:0.813469:0.000000
Sucesión decreciente:@0.102907:0.837917:0.245351:0.837917:0.245351:0.823018:0.102907:0.823018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si :@0.171290:0.856563:0.186233:0.856563:0.186233:0.841664:0.171290:0.841664:0.000000:0.000000:0.000000
a:@0.186233:0.856563:0.194660:0.856563:0.194660:0.841689:0.186233:0.841689:0.000000
n:@0.194659:0.859445:0.199698:0.859445:0.199698:0.850774:0.194659:0.850774:0.000000
 + 1:@0.199698:0.859445:0.214563:0.859445:0.214563:0.850759:0.199698:0.850759:0.000000:0.000000:0.000000:0.000000
 ≤ :@0.214562:0.856569:0.231884:0.856569:0.231884:0.841670:0.214562:0.841670:0.000000:0.000000:0.000000
a:@0.231884:0.856569:0.240311:0.856569:0.240311:0.841695:0.231884:0.841695:0.000000
n:@0.240311:0.859445:0.245350:0.859445:0.245350:0.850774:0.240311:0.850774:0.000000
Sucesión estrictamente :@0.089204:0.875220:0.249019:0.875220:0.249019:0.860321:0.089204:0.860321:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
decreciente:@0.166483:0.890307:0.245352:0.890307:0.245352:0.875408:0.166483:0.875408:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si :@0.171291:0.908953:0.186234:0.908953:0.186234:0.894054:0.171291:0.894054:0.000000:0.000000:0.000000
a:@0.186234:0.908953:0.194661:0.908953:0.194661:0.894079:0.186234:0.894079:0.000000
n:@0.194659:0.911836:0.199698:0.911836:0.199698:0.903164:0.194659:0.903164:0.000000
 + 1:@0.199698:0.911836:0.214563:0.911836:0.214563:0.903149:0.199698:0.903149:0.000000:0.000000:0.000000:0.000000
 < :@0.214562:0.908959:0.231884:0.908959:0.231884:0.894060:0.214562:0.894060:0.000000:0.000000:0.000000
a:@0.231884:0.908959:0.240311:0.908959:0.240311:0.894086:0.231884:0.894086:0.000000
n:@0.240311:0.911836:0.245350:0.911836:0.245350:0.903164:0.240311:0.903164:0.000000
     Matemática:@0.116393:0.682042:0.223933:0.682042:0.223933:0.665141:0.116393:0.665141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La reforestación consiste en :@0.072616:0.422374:0.241961:0.422374:0.241961:0.408965:0.072616:0.408965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
plantar árboles y restaurar :@0.072616:0.434946:0.231211:0.434946:0.231211:0.421537:0.072616:0.421537:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
zonas donde la vegetación ha :@0.072616:0.447517:0.255455:0.447517:0.255455:0.434108:0.072616:0.434108:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sido destruida.:@0.072616:0.460089:0.159988:0.460089:0.159988:0.446680:0.072616:0.446680:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.070380:0.364842:0.070380:0.322017:0.058469:0.322017:0.058469:0.364842:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.53. :@0.298180:0.946788:0.353423:0.946788:0.353423:0.934496:0.298180:0.934496:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Identificar sucesiones numéricas reales, sucesiones monótonas y sucesiones definidas por recurrencia a :@0.353476:0.946788:0.906519:0.946788:0.906519:0.934868:0.353476:0.934868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
partir de las fórmulas que las definen.:@0.298180:0.958103:0.496969:0.958103:0.496969:0.946184:0.298180:0.946184:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000