47:@0.942817:0.963100:0.961632:0.963100:0.961632:0.946476:0.942817:0.946476:0.000000:0.000000
M.3.1.1. Generar sucesiones con sumas, restas, multiplicaciones y divisiones, con números naturales, a partir de ejercicios numéricos o problemas sencillos.:@0.105857:0.092104:0.854939:0.092104:0.854939:0.081525:0.105857:0.081525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 1:@0.096359:0.133739:0.179766:0.133739:0.179766:0.115604:0.096359:0.115604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Escribir una sucesión de 6 términos cuyo primer término sea 7 y cuyo :@0.096359:0.158966:0.699138:0.158966:0.699138:0.141087:0.096359:0.141087:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
patrón de formación sea multiplicar por 3.:@0.096359:0.177071:0.431834:0.177071:0.431834:0.159192:0.096359:0.159192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096359:0.202297:0.169152:0.202297:0.169152:0.184162:0.096359:0.184162:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Multiplicamos 7 por 3, al número que vamos obteniendo lo multiplicamos :@0.096359:0.227524:0.699122:0.227524:0.699122:0.209645:0.096359:0.209645:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
por 3 hasta obtener 6 términos.:@0.096359:0.245629:0.347360:0.245629:0.347360:0.227750:0.096359:0.227750:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
7:@0.153806:0.281859:0.162799:0.281859:0.162799:0.265470:0.153806:0.265470:0.000000
21:@0.244286:0.281859:0.262271:0.281859:0.262271:0.265470:0.244286:0.265470:0.000000:0.000000
63:@0.339262:0.281859:0.357247:0.281859:0.357247:0.265470:0.339262:0.265470:0.000000:0.000000
189:@0.429742:0.281859:0.456720:0.281859:0.456720:0.265470:0.429742:0.265470:0.000000:0.000000:0.000000
567:@0.524718:0.281237:0.551696:0.281237:0.551696:0.264848:0.524718:0.264848:0.000000:0.000000:0.000000
1 701:@0.613170:0.281237:0.653177:0.281237:0.653177:0.264848:0.613170:0.264848:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 2:@0.096359:0.333370:0.179766:0.333370:0.179766:0.315234:0.096359:0.315234:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Determinar el patrón de formación de la sucesión.:@0.096359:0.358596:0.496362:0.358596:0.496362:0.340717:0.096359:0.340717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2:@0.199721:0.394814:0.208714:0.394814:0.208714:0.378425:0.199721:0.378425:0.000000
8:@0.294697:0.394814:0.303690:0.394814:0.303690:0.378425:0.294697:0.378425:0.000000
32:@0.385177:0.394814:0.403162:0.394814:0.403162:0.378425:0.385177:0.378425:0.000000:0.000000
128:@0.475657:0.394814:0.502635:0.394814:0.502635:0.378425:0.475657:0.378425:0.000000:0.000000:0.000000
512:@0.570633:0.394192:0.597611:0.394192:0.597611:0.377803:0.570633:0.377803:0.000000:0.000000:0.000000
Solución :@0.096359:0.429336:0.173413:0.429336:0.173413:0.411200:0.096359:0.411200:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Debemos tomar un término cualquiera, excepto el primero, y dividir para el :@0.096359:0.454562:0.699118:0.454562:0.699118:0.436683:0.096359:0.436683:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
anterior. En el ejemplo podría ser::@0.096359:0.472667:0.363239:0.472667:0.363239:0.454788:0.096359:0.454788:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
  128                  32                  4:@0.274873:0.508877:0.516188:0.508877:0.516188:0.490999:0.274873:0.490999:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
÷:@0.348329:0.508877:0.360310:0.508877:0.360310:0.490999:0.348329:0.490999:0.000000
=:@0.459176:0.508877:0.471157:0.508877:0.471157:0.490999:0.459176:0.490999:0.000000
Por lo tanto, el patrón de formación es multiplicar por 4.:@0.096359:0.545088:0.541513:0.545088:0.541513:0.527209:0.096359:0.527209:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Sucesiones por división:@0.096359:0.591764:0.316645:0.591764:0.316645:0.571790:0.096359:0.571790:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ejemplo 3:@0.096359:0.741361:0.179766:0.741361:0.179766:0.723226:0.096359:0.723226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Formar la sucesión cuyo patrón de formación es dividir por 2, siendo el :@0.096359:0.766588:0.699124:0.766588:0.699124:0.748709:0.096359:0.748709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
primer término 48.:@0.096359:0.784693:0.245842:0.784693:0.245842:0.766814:0.096359:0.766814:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Solución:@0.096359:0.809919:0.169152:0.809919:0.169152:0.791784:0.096359:0.791784:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Debemos dividir 48 por 2. A los resultados que vamos obteniendo los :@0.096359:0.835146:0.699043:0.835146:0.699043:0.817267:0.096359:0.817267:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dividiremos por 2 hasta que sea posible.:@0.096359:0.853251:0.416310:0.853251:0.416310:0.835372:0.096359:0.835372:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
48:@0.195225:0.889481:0.213210:0.889481:0.213210:0.873092:0.195225:0.873092:0.000000:0.000000
24:@0.290201:0.889481:0.308186:0.889481:0.308186:0.873092:0.290201:0.873092:0.000000:0.000000
12:@0.385177:0.889481:0.403162:0.889481:0.403162:0.873092:0.385177:0.873092:0.000000:0.000000
6:@0.484649:0.889481:0.493642:0.889481:0.493642:0.873092:0.484649:0.873092:0.000000
3:@0.579625:0.888859:0.588618:0.888859:0.588618:0.872470:0.579625:0.872470:0.000000
Recuerda:@0.732640:0.844969:0.798075:0.844969:0.798075:0.829856:0.732640:0.829856:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que cuando :@0.798075:0.844969:0.886159:0.844969:0.886159:0.830070:0.798075:0.830070:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tengas dificultad para :@0.732640:0.861314:0.880731:0.861314:0.880731:0.846415:0.732640:0.846415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
resolver un ejercicio :@0.732640:0.877659:0.869087:0.877659:0.869087:0.862760:0.732640:0.862760:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es mejor pedir ayuda, :@0.732640:0.894004:0.879306:0.894004:0.879306:0.879105:0.732640:0.879105:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
expresarlo sin temor  :@0.732640:0.910349:0.875654:0.910349:0.875654:0.895450:0.732640:0.895450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y ser honesto.:@0.732640:0.926694:0.824509:0.926694:0.824509:0.911795:0.732640:0.911795:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.769455:0.807825:0.870568:0.807825:0.870568:0.791049:0.769455:0.791049:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
socioemocional:@0.769455:0.821655:0.885052:0.821655:0.885052:0.804879:0.769455:0.804879:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Dentro de los números :@0.732687:0.176446:0.889840:0.176446:0.889840:0.161547:0.732687:0.161547:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
naturales, una sucesión :@0.732687:0.192791:0.891414:0.192791:0.891414:0.177892:0.732687:0.177892:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
multiplicativa siempre :@0.732687:0.209136:0.883824:0.209136:0.883824:0.194237:0.732687:0.194237:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
será creciente y tendrá :@0.732687:0.225481:0.887126:0.225481:0.887126:0.210582:0.732687:0.210582:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
infinito número de :@0.732687:0.241826:0.861377:0.241826:0.861377:0.226926:0.732687:0.226926:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos, en tanto que :@0.732687:0.258170:0.888667:0.258170:0.888667:0.243271:0.732687:0.243271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una sucesión por división :@0.732687:0.274515:0.905656:0.274515:0.905656:0.259616:0.732687:0.259616:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
será decreciente y :@0.732687:0.290860:0.856854:0.290860:0.856854:0.275961:0.732687:0.275961:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tendrá finito número de :@0.732687:0.307205:0.896407:0.307205:0.896407:0.292306:0.732687:0.292306:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos.:@0.732687:0.323550:0.795038:0.323550:0.795038:0.308651:0.732687:0.308651:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.782664:0.139301:0.883775:0.139301:0.883775:0.122525:0.782664:0.122525:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.782664:0.153132:0.870693:0.153132:0.870693:0.136356:0.782664:0.136356:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si averiguas a alguien :@0.732687:0.445494:0.879522:0.445494:0.879522:0.430595:0.732687:0.430595:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de tu familia que ha :@0.732687:0.461839:0.868901:0.461839:0.868901:0.446940:0.732687:0.446940:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
comprado su vivienda :@0.732687:0.478184:0.884732:0.478184:0.884732:0.463285:0.732687:0.463285:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con plan de pagos con :@0.732687:0.494529:0.889506:0.494529:0.889506:0.479630:0.732687:0.479630:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
modalidad alemana, :@0.732687:0.510874:0.872369:0.510874:0.872369:0.495975:0.732687:0.495975:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
te vas a dar cuenta de :@0.732687:0.527219:0.882085:0.527219:0.882085:0.512320:0.732687:0.512320:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
cómo funciona una :@0.732687:0.543564:0.866924:0.543564:0.866924:0.528665:0.732687:0.528665:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
sucesión decreciente.:@0.732687:0.559909:0.876354:0.559909:0.876354:0.545010:0.732687:0.545010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Competencia :@0.782664:0.408351:0.883775:0.408351:0.883775:0.391575:0.782664:0.391575:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
matemática:@0.782664:0.422182:0.870693:0.422182:0.870693:0.405405:0.782664:0.405405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Pixabay.com:@0.926720:0.733949:0.926720:0.696608:0.914809:0.696608:0.914809:0.733949:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684191:0.079553:0.268044:0.061505:0.268044:0.061505:0.684191:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000