67:@0.921900:0.510692:0.940807:0.510692:0.940807:0.494068:0.921900:0.494068:0.000000:0.000000
15. :@0.120102:0.514910:0.149070:0.514910:0.149070:0.497774:0.120102:0.497774:0.000000:0.000000:0.000000:0.000000
Una progresión aritmética ( ) es tal, que la :@0.153346:0.514910:0.496386:0.514910:0.496386:0.498521:0.153346:0.498521:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.362978:0.514910:0.372303:0.514910:0.372303:0.498549:0.362978:0.498549:0.000000
m:@0.372278:0.518074:0.380808:0.518074:0.380808:0.508535:0.372278:0.508535:0.000000
suma de los primeros diez términos es 325 y :@0.153337:0.531506:0.496312:0.531506:0.496312:0.515117:0.153337:0.515117:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los quince primeros términos es 675.:@0.153337:0.548103:0.444859:0.548103:0.444859:0.531714:0.153337:0.531714:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153337:0.571822:0.172060:0.571822:0.172060:0.554921:0.153337:0.554921:0.000000:0.000000:0.000000
Calcula:@0.186581:0.571822:0.242011:0.571822:0.242011:0.555198:0.186581:0.555198:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el primer término  .:@0.242011:0.571822:0.391236:0.571822:0.391236:0.555433:0.242011:0.555433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.378761:0.571822:0.388030:0.571822:0.388030:0.555460:0.378761:0.555460:0.000000
 :@0.153337:0.668592:0.157152:0.668592:0.157152:0.651692:0.153337:0.651692:0.000000
b) :@0.153344:0.688758:0.173375:0.688758:0.173375:0.671858:0.153344:0.671858:0.000000:0.000000:0.000000
Escribe:@0.186587:0.688758:0.241336:0.688758:0.241336:0.672134:0.186587:0.672134:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la diferencia  .:@0.241336:0.688758:0.350040:0.688758:0.350040:0.672369:0.241336:0.672369:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.337565:0.688758:0.346834:0.688758:0.346834:0.672397:0.337565:0.672397:0.000000
 :@0.153344:0.785529:0.157158:0.785529:0.157158:0.768628:0.153344:0.768628:0.000000
c) :@0.153344:0.805691:0.170979:0.805691:0.170979:0.788790:0.153344:0.788790:0.000000:0.000000:0.000000
Halla:@0.186587:0.805691:0.225064:0.805691:0.225064:0.789067:0.186587:0.789067:0.000000:0.000000:0.000000:0.000000:0.000000
 el décimo término.:@0.225064:0.805691:0.367526:0.805691:0.367526:0.789302:0.225064:0.789302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153344:0.902462:0.157158:0.902462:0.157158:0.885561:0.153344:0.885561:0.000000
16. :@0.512386:0.226629:0.541355:0.226629:0.541355:0.209493:0.512386:0.209493:0.000000:0.000000:0.000000:0.000000
Una progresión aritmética es tal, que la suma :@0.545630:0.226629:0.888680:0.226629:0.888680:0.210240:0.545630:0.210240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los cinco primeros términos es 90 y de los :@0.545630:0.243225:0.888679:0.243225:0.888679:0.226836:0.545630:0.226836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
diez primeros términos es 155.:@0.545630:0.259821:0.769118:0.259821:0.769118:0.243432:0.545630:0.243432:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.545630:0.290691:0.564352:0.290691:0.564352:0.273790:0.545630:0.273790:0.000000:0.000000:0.000000
Halla :@0.578873:0.290691:0.621257:0.290691:0.621257:0.274066:0.578873:0.274066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
el primer término  .:@0.621257:0.290691:0.766444:0.290691:0.766444:0.274302:0.621257:0.274302:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.753969:0.290691:0.763238:0.290691:0.763238:0.274329:0.753969:0.274329:0.000000
 :@0.545630:0.387461:0.549444:0.387461:0.549444:0.370561:0.545630:0.370561:0.000000
b) :@0.545628:0.417719:0.565659:0.417719:0.565659:0.400819:0.545628:0.400819:0.000000:0.000000:0.000000
Calcula:@0.578872:0.417719:0.634302:0.417719:0.634302:0.401095:0.578872:0.401095:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la diferencia  .:@0.634302:0.417719:0.743007:0.417719:0.743007:0.401330:0.634302:0.401330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.730531:0.417719:0.739800:0.417719:0.739800:0.401358:0.730531:0.401358:0.000000
 :@0.545628:0.514490:0.549443:0.514490:0.549443:0.497589:0.545628:0.497589:0.000000
c) :@0.545628:0.544753:0.563263:0.544753:0.563263:0.527853:0.545628:0.527853:0.000000:0.000000:0.000000
Halla:@0.578872:0.544753:0.617348:0.544753:0.617348:0.528129:0.578872:0.528129:0.000000:0.000000:0.000000:0.000000:0.000000
 el quinto término.:@0.617348:0.544753:0.752771:0.544753:0.752771:0.528364:0.617348:0.528364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.545628:0.641524:0.549443:0.641524:0.549443:0.624623:0.545628:0.624623:0.000000
d) :@0.545628:0.100407:0.565696:0.100407:0.565696:0.083506:0.545628:0.083506:0.000000:0.000000:0.000000
Encuentra:@0.578872:0.100407:0.656876:0.100407:0.656876:0.083783:0.578872:0.083783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el décimo quinto término.:@0.656876:0.100407:0.852262:0.100407:0.852262:0.084018:0.656876:0.084018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.545628:0.197177:0.549443:0.197177:0.549443:0.180277:0.545628:0.180277:0.000000
14. :@0.120102:0.100407:0.149070:0.100407:0.149070:0.083271:0.120102:0.083271:0.000000:0.000000:0.000000:0.000000
El primer término de una progresión aritméti-:@0.153346:0.100407:0.492357:0.100407:0.492357:0.084018:0.153346:0.084018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
ca es 132 y el décimo término es 33.:@0.153346:0.117003:0.417594:0.117003:0.417594:0.100614:0.153346:0.100614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.153346:0.140722:0.172068:0.140722:0.172068:0.123822:0.153346:0.123822:0.000000:0.000000:0.000000
Encuentra:@0.186589:0.140722:0.264593:0.140722:0.264593:0.124098:0.186589:0.124098:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la diferencia  .:@0.264593:0.140722:0.373296:0.140722:0.373296:0.124333:0.264593:0.124333:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.360820:0.140722:0.370090:0.140722:0.370090:0.124361:0.360820:0.124361:0.000000
 :@0.153346:0.237493:0.157160:0.237493:0.157160:0.220592:0.153346:0.220592:0.000000
b) :@0.153344:0.257659:0.173375:0.257659:0.173375:0.240758:0.153344:0.240758:0.000000:0.000000:0.000000
Calcula:@0.186587:0.257659:0.242018:0.257659:0.242018:0.241035:0.186587:0.241035:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el décimo tercer término.:@0.242018:0.257659:0.430864:0.257659:0.430864:0.241270:0.242018:0.241270:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153344:0.354429:0.157158:0.354429:0.157158:0.337529:0.153344:0.337529:0.000000
c) :@0.153344:0.374590:0.170979:0.374590:0.170979:0.357690:0.153344:0.357690:0.000000:0.000000:0.000000
Determina:@0.186587:0.374590:0.268277:0.374590:0.268277:0.357966:0.186587:0.357966:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la suma de los trece primeros :@0.268277:0.374590:0.496319:0.374590:0.496319:0.358201:0.268277:0.358201:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos.:@0.186587:0.391187:0.255173:0.391187:0.255173:0.374798:0.186587:0.374798:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.153344:0.487957:0.157158:0.487957:0.157158:0.471057:0.153344:0.471057:0.000000
17. :@0.512425:0.670975:0.541393:0.670975:0.541393:0.653839:0.512425:0.653839:0.000000:0.000000:0.000000:0.000000
Responde:@0.545668:0.670975:0.622641:0.670975:0.622641:0.654351:0.545668:0.654351:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 verdadero (V) o falso (F) a las si-:@0.622641:0.670975:0.884626:0.670975:0.884626:0.654586:0.622641:0.654586:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
guientes afirmaciones.:@0.545668:0.687571:0.710445:0.687571:0.710445:0.671182:0.545668:0.671182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.512425:0.916214:0.516147:0.916214:0.516147:0.899078:0.512425:0.899078:0.000000
La  diferencia  (d)  en  una  progresión :@0.552786:0.725293:0.835048:0.725293:0.835048:0.708904:0.552786:0.708904:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
aritmética solo puede ser positiva.:@0.552786:0.741889:0.802204:0.741889:0.802204:0.725500:0.552786:0.725500:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La fórmula para el cálculo de la suma :@0.552786:0.770421:0.835048:0.770421:0.835048:0.754032:0.552786:0.754032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de los   primeros términos de una :@0.552786:0.787018:0.835059:0.787018:0.835059:0.770629:0.552786:0.770629:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.609359:0.787018:0.618868:0.787018:0.618868:0.770656:0.609359:0.770656:0.000000
progresión aritmética es la siguiente: :@0.552786:0.803614:0.835078:0.803614:0.835078:0.787225:0.552786:0.787225:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
(:@0.609902:0.833390:0.616038:0.833390:0.616038:0.810965:0.609902:0.810965:0.000000
):@0.702777:0.833390:0.708914:0.833390:0.708914:0.810965:0.702777:0.810965:0.000000
(:@0.648955:0.832138:0.655092:0.832138:0.655092:0.812205:0.648955:0.812205:0.000000
):@0.684502:0.832138:0.690639:0.832138:0.690639:0.812205:0.684502:0.812205:0.000000
=:@0.573675:0.829684:0.583792:0.829684:0.583792:0.814111:0.573675:0.814111:0.000000
+:@0.636808:0.829684:0.646925:0.829684:0.646925:0.814111:0.636808:0.814111:0.000000
S:@0.555763:0.829006:0.563835:0.829006:0.563835:0.812645:0.555763:0.812645:0.000000
n a:@0.599584:0.829006:0.634763:0.829006:0.634763:0.812645:0.599584:0.812645:0.000000:0.000000:0.000000
n:@0.655752:0.829006:0.665260:0.829006:0.665260:0.812645:0.655752:0.812645:0.000000
d:@0.692091:0.829006:0.701360:0.829006:0.701360:0.812645:0.692091:0.812645:0.000000
n:@0.563779:0.831010:0.569290:0.831010:0.569290:0.821528:0.563779:0.821528:0.000000
1:@0.588595:0.820481:0.597587:0.820481:0.597587:0.804092:0.588595:0.804092:0.000000
2:@0.587809:0.839929:0.596802:0.839929:0.596802:0.823540:0.587809:0.823540:0.000000
2:@0.616335:0.829003:0.625328:0.829003:0.625328:0.812614:0.616335:0.812614:0.000000
–1:@0.667490:0.829003:0.687055:0.829006:0.687055:0.812618:0.667490:0.812614:0.000000:0.000000
Cada término de una progresión arit-:@0.552791:0.872033:0.831012:0.872033:0.831012:0.855644:0.552791:0.855644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mética se obtiene restando al término :@0.552791:0.888629:0.835027:0.888629:0.835027:0.872240:0.552791:0.872240:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
anterior la constante  .:@0.552791:0.905225:0.720297:0.905225:0.720297:0.888836:0.552791:0.888836:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.707821:0.905225:0.717090:0.905225:0.717090:0.888864:0.707821:0.888864:0.000000