﻿174:@0.031627:0.974518:0.062330:0.974518:0.062330:0.956333:0.031627:0.956333:0.000000:0.000000:0.000000
Sucesiones y series:@0.073089:0.043661:0.242349:0.043661:0.242349:0.024916:0.073089:0.024916:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1.  En cada ítem se define una progresión geométrica ( ). :@0.073089:0.136836:0.489675:0.136836:0.489675:0.120167:0.073089:0.120167:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
p:@0.463536:0.136836:0.472795:0.136836:0.472795:0.120430:0.463536:0.120430:0.000000
n:@0.472185:0.140009:0.477723:0.140009:0.477723:0.130444:0.472185:0.130444:0.000000
Escribe la razón   de la progresión  y  calcula  los :@0.103217:0.153478:0.489626:0.153478:0.489626:0.136808:0.103217:0.136808:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d:@0.234074:0.153478:0.243333:0.153478:0.243333:0.137072:0.234074:0.137072:0.000000
primeros 5 términos.:@0.103217:0.170120:0.252903:0.170120:0.252903:0.153450:0.103217:0.153450:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
2.  En cada ítem se define una progresión geométrica :@0.073089:0.415589:0.489818:0.415589:0.489818:0.398920:0.073089:0.398920:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ). Escribe la razón   de la progresión y prueba la :@0.103214:0.432231:0.489691:0.432231:0.489691:0.415562:0.103214:0.415562:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.108387:0.432231:0.117645:0.432231:0.117645:0.415825:0.108387:0.415825:0.000000
n:@0.117590:0.435404:0.123127:0.435404:0.123127:0.425839:0.117590:0.425839:0.000000
d:@0.258926:0.432231:0.268185:0.432231:0.268185:0.415825:0.258926:0.415825:0.000000
afirmación que se indica.:@0.103201:0.448873:0.291262:0.448873:0.291262:0.432204:0.103201:0.432204:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3.  En cada ítem se dan los tres primeros términos de :@0.073089:0.765819:0.489494:0.765819:0.489494:0.749150:0.073089:0.749150:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
una progresión geométrica ( ). Halla el término :@0.103214:0.782461:0.489752:0.782461:0.489752:0.765792:0.103214:0.765792:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.327912:0.782461:0.337170:0.782461:0.337170:0.766055:0.327912:0.766055:0.000000
m:@0.337282:0.785634:0.345803:0.785634:0.345803:0.776069:0.337282:0.776069:0.000000
general de dicha progresión, verifica su resultado :@0.103210:0.799103:0.489382:0.799103:0.489382:0.782433:0.103210:0.782433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
con el quinto término y calcula el término   que se :@0.103210:0.815745:0.489691:0.815745:0.489691:0.799075:0.103210:0.799075:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.415821:0.815745:0.425080:0.815745:0.425080:0.799339:0.415821:0.799339:0.000000
m:@0.424954:0.818917:0.433475:0.818917:0.433475:0.809353:0.424954:0.809353:0.000000
indica.:@0.103212:0.832387:0.152912:0.832387:0.152912:0.815717:0.103212:0.815717:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a. :@0.104733:0.206155:0.120177:0.206155:0.120177:0.189721:0.104733:0.189721:0.000000:0.000000:0.000000
p:@0.134934:0.206155:0.144193:0.206155:0.144193:0.189748:0.134934:0.189748:0.000000
n:@0.144128:0.209327:0.149665:0.209327:0.149665:0.199762:0.144128:0.199762:0.000000
 = 5 ,   :@0.149627:0.206155:0.203220:0.206155:0.203220:0.189721:0.149627:0.189721:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–n:@0.177320:0.200091:0.188180:0.200091:0.188180:0.190526:0.177320:0.190526:0.000000:0.000000
∀:@0.203110:0.206737:0.215387:0.206737:0.215387:0.189083:0.203110:0.189083:0.000000
n:@0.215295:0.206155:0.224794:0.206155:0.224794:0.189748:0.215295:0.189748:0.000000
    .:@0.224720:0.206155:0.264625:0.206155:0.264625:0.189721:0.224720:0.189721:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.228688:0.206553:0.243324:0.206553:0.243324:0.189701:0.228688:0.189701:0.000000
ℕ:@0.247194:0.206737:0.261514:0.206737:0.261514:0.189083:0.247194:0.189083:0.000000
b. :@0.104733:0.261022:0.121631:0.261022:0.121631:0.244588:0.104733:0.244588:0.000000:0.000000:0.000000
p:@0.134934:0.261022:0.144193:0.261022:0.144193:0.244616:0.134934:0.244616:0.000000
n:@0.144128:0.264195:0.149665:0.264195:0.149665:0.254630:0.144128:0.254630:0.000000
 = 2 ,   :@0.149627:0.261022:0.197894:0.261022:0.197894:0.244588:0.149627:0.244588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.177320:0.254958:0.182857:0.254958:0.182857:0.245394:0.177320:0.245394:0.000000
∀:@0.197783:0.261605:0.210061:0.261605:0.210061:0.243950:0.197783:0.243950:0.000000
n:@0.209969:0.261022:0.219467:0.261022:0.219467:0.244616:0.209969:0.244616:0.000000
    .:@0.219394:0.261022:0.259297:0.261022:0.259297:0.244588:0.219394:0.244588:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.223359:0.261421:0.237996:0.261421:0.237996:0.244569:0.223359:0.244569:0.000000
ℕ:@0.241865:0.261605:0.256186:0.261605:0.256186:0.243950:0.241865:0.243950:0.000000
a. :@0.104733:0.512005:0.119440:0.512005:0.119440:0.495571:0.104733:0.495571:0.000000:0.000000:0.000000
a:@0.135303:0.512005:0.144561:0.512005:0.144561:0.495599:0.135303:0.495599:0.000000
n:@0.144128:0.515177:0.149665:0.515177:0.149665:0.505613:0.144128:0.505613:0.000000
 = 5 ,  :@0.149411:0.512005:0.196411:0.512005:0.196411:0.495571:0.149411:0.495571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–n:@0.175633:0.505941:0.186278:0.505941:0.186278:0.496376:0.175633:0.496376:0.000000:0.000000
∀:@0.195951:0.512587:0.208229:0.512587:0.208229:0.494933:0.195951:0.494933:0.000000
n:@0.208137:0.512005:0.217635:0.512005:0.217635:0.495599:0.208137:0.495599:0.000000
    , (estrictamente decreciente).:@0.217561:0.512005:0.453930:0.512005:0.453930:0.495571:0.217561:0.495571:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.221515:0.512403:0.236152:0.512403:0.236152:0.495552:0.221515:0.495552:0.000000
ℕ:@0.240021:0.512587:0.254342:0.512587:0.254342:0.494933:0.240021:0.494933:0.000000
c. :@0.104733:0.311524:0.119808:0.311524:0.119808:0.295090:0.104733:0.295090:0.000000:0.000000:0.000000
p:@0.134934:0.311524:0.144193:0.311524:0.144193:0.295118:0.134934:0.295118:0.000000
n:@0.144128:0.314696:0.149665:0.314696:0.149665:0.305131:0.144128:0.305131:0.000000
 =             ,   :@0.149627:0.311524:0.231005:0.311524:0.231005:0.295090:0.149627:0.295090:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.230803:0.312106:0.243080:0.312106:0.243080:0.294452:0.230803:0.294452:0.000000
n:@0.242988:0.311524:0.252486:0.311524:0.252486:0.295118:0.242988:0.295118:0.000000
    .:@0.252413:0.311524:0.292303:0.311524:0.292303:0.295090:0.252413:0.295090:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.256365:0.311922:0.271002:0.311922:0.271002:0.295070:0.256365:0.295070:0.000000
ℕ:@0.274871:0.312106:0.289192:0.312106:0.289192:0.294452:0.274871:0.294452:0.000000
d. :@0.104733:0.364616:0.121612:0.364616:0.121612:0.348182:0.104733:0.348182:0.000000:0.000000:0.000000
p:@0.134934:0.364616:0.144193:0.364616:0.144193:0.348210:0.134934:0.348210:0.000000
n:@0.144128:0.367789:0.149665:0.367789:0.149665:0.358224:0.144128:0.358224:0.000000
 = 5  –       ,   :@0.149627:0.364616:0.237172:0.364616:0.237172:0.348182:0.149627:0.348182:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.236969:0.365199:0.249247:0.365199:0.249247:0.347545:0.236969:0.347545:0.000000
n:@0.249155:0.364616:0.258653:0.364616:0.258653:0.348210:0.249155:0.348210:0.000000
    .:@0.258579:0.364616:0.298478:0.364616:0.298478:0.348182:0.258579:0.348182:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.262540:0.365015:0.277176:0.365015:0.277176:0.348163:0.262540:0.348163:0.000000
ℕ:@0.281046:0.365199:0.295367:0.365199:0.295367:0.347545:0.281046:0.347545:0.000000
4.  En cada ítem se define una progresión geométrica :@0.514231:0.361984:0.930959:0.361984:0.930959:0.345314:0.514231:0.345314:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
( ). Prueba que la suma de los   + 1 primeros :@0.544355:0.378626:0.930766:0.378626:0.930766:0.361956:0.544355:0.361956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b:@0.549914:0.378626:0.559173:0.378626:0.559173:0.362220:0.549914:0.362220:0.000000
n:@0.559463:0.381798:0.565000:0.381798:0.565000:0.372233:0.559463:0.372233:0.000000
n:@0.806044:0.378626:0.815543:0.378626:0.815543:0.362220:0.806044:0.362220:0.000000
términos es la que se indica.:@0.544367:0.395268:0.756485:0.395268:0.756485:0.378598:0.544367:0.378598:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5.  El segundo término de una progresión geométrica :@0.514231:0.670221:0.930974:0.670221:0.930974:0.653551:0.514231:0.653551:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
es 4 y el octavo término es 256. Calcula lo que se :@0.544355:0.686863:0.930926:0.686863:0.930926:0.670193:0.544355:0.670193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
indica en cada literal.:@0.544355:0.703505:0.703195:0.703505:0.703195:0.686835:0.544355:0.686835:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.198600:0.301472:0.207583:0.301472:0.207583:0.285038:0.198600:0.285038:0.000000
2:@0.198600:0.317864:0.207583:0.317864:0.207583:0.301430:0.198600:0.301430:0.000000
1:@0.204107:0.353798:0.213090:0.353798:0.213090:0.337364:0.204107:0.337364:0.000000
2:@0.204107:0.370190:0.213090:0.370190:0.213090:0.353756:0.204107:0.353756:0.000000
1:@0.174599:0.301472:0.183581:0.301472:0.183581:0.285038:0.174599:0.285038:0.000000
2:@0.174599:0.317864:0.183581:0.317864:0.183581:0.301430:0.174599:0.301430:0.000000
n:@0.214956:0.292985:0.220996:0.292985:0.220996:0.282550:0.214956:0.282550:0.000000
n:@0.220465:0.345309:0.226505:0.345309:0.226505:0.334875:0.220465:0.334875:0.000000
b. :@0.104633:0.564074:0.121531:0.564074:0.121531:0.547640:0.104633:0.547640:0.000000:0.000000:0.000000
a:@0.134834:0.564074:0.144093:0.564074:0.144093:0.547668:0.134834:0.547668:0.000000
n:@0.144028:0.567246:0.149565:0.567246:0.149565:0.557681:0.144028:0.557681:0.000000
 = 2 ,  :@0.149526:0.564074:0.193836:0.564074:0.193836:0.547640:0.149526:0.547640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.177219:0.558010:0.182757:0.558010:0.182757:0.548445:0.177219:0.548445:0.000000
∀:@0.193744:0.564656:0.206022:0.564656:0.206022:0.547002:0.193744:0.547002:0.000000
n:@0.205929:0.564074:0.215428:0.564074:0.215428:0.547668:0.205929:0.547668:0.000000
    , (estrictamente creciente).:@0.215354:0.564074:0.443607:0.564074:0.443607:0.547640:0.215354:0.547640:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.219310:0.564472:0.233946:0.564472:0.233946:0.547620:0.219310:0.547620:0.000000
ℕ:@0.237816:0.564656:0.252137:0.564656:0.252137:0.547002:0.237816:0.547002:0.000000
c. :@0.104757:0.618864:0.119833:0.618864:0.119833:0.602431:0.104757:0.602431:0.000000:0.000000:0.000000
a:@0.134959:0.618864:0.144218:0.618864:0.144218:0.602458:0.134959:0.602458:0.000000
n:@0.144151:0.622037:0.149689:0.622037:0.149689:0.612472:0.144151:0.612472:0.000000
 =             ,   :@0.149650:0.618864:0.231029:0.618864:0.231029:0.602431:0.149650:0.602431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.230826:0.619447:0.243104:0.619447:0.243104:0.601793:0.230826:0.601793:0.000000
n:@0.243012:0.618864:0.252510:0.618864:0.252510:0.602458:0.243012:0.602458:0.000000
    , (estrictamente:@0.252436:0.618864:0.401754:0.618864:0.401754:0.602431:0.252436:0.602431:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.256390:0.619263:0.271027:0.619263:0.271027:0.602411:0.256390:0.602411:0.000000
ℕ:@0.274896:0.619447:0.289217:0.619447:0.289217:0.601793:0.274896:0.601793:0.000000
creciente).:@0.134869:0.650873:0.209919:0.650873:0.209919:0.634440:0.134869:0.634440:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
d. :@0.104757:0.691708:0.121637:0.691708:0.121637:0.675274:0.104757:0.675274:0.000000:0.000000:0.000000
a:@0.134959:0.691708:0.144218:0.691708:0.144218:0.675302:0.134959:0.675302:0.000000
n:@0.144151:0.694881:0.149689:0.694881:0.149689:0.685317:0.144151:0.685317:0.000000
 = 5  –       ,   :@0.149650:0.691708:0.237195:0.691708:0.237195:0.675274:0.149650:0.675274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∀:@0.236993:0.692290:0.249270:0.692290:0.249270:0.674636:0.236993:0.674636:0.000000
n:@0.249178:0.691708:0.258676:0.691708:0.258676:0.675302:0.249178:0.675302:0.000000
    , (ni creciente :@0.258603:0.691708:0.395863:0.691708:0.395863:0.675274:0.258603:0.675274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.262564:0.692106:0.277200:0.692106:0.277200:0.675254:0.262564:0.675254:0.000000
ℕ:@0.281070:0.692290:0.295390:0.692290:0.295390:0.674636:0.281070:0.674636:0.000000
 :@0.111161:0.723717:0.115192:0.723717:0.115192:0.707283:0.111161:0.707283:0.000000
ni decreciente).:@0.134869:0.723717:0.246239:0.723717:0.246239:0.707283:0.134869:0.707283:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.197439:0.608045:0.206421:0.608045:0.206421:0.591611:0.197439:0.591611:0.000000
2:@0.197439:0.624437:0.206421:0.624437:0.206421:0.608003:0.197439:0.608003:0.000000
1:@0.202459:0.680889:0.211442:0.680889:0.211442:0.664455:0.202459:0.664455:0.000000
2:@0.202459:0.697282:0.211442:0.697282:0.211442:0.680848:0.202459:0.680848:0.000000
1:@0.173437:0.608045:0.182420:0.608045:0.182420:0.591611:0.173437:0.591611:0.000000
2:@0.173437:0.624437:0.182420:0.624437:0.182420:0.608003:0.173437:0.608003:0.000000
n:@0.213794:0.599557:0.219835:0.599557:0.219835:0.589123:0.213794:0.589123:0.000000
n:@0.218815:0.672401:0.224855:0.672401:0.224855:0.661966:0.218815:0.661966:0.000000
a.  3, 6, 12, ...,   = 48,   :@0.545774:0.136836:0.715332:0.136836:0.715332:0.120402:0.545774:0.120402:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.649236:0.136836:0.658495:0.136836:0.658495:0.120430:0.649236:0.120430:0.000000
4:@0.658435:0.140009:0.663672:0.140009:0.663672:0.130428:0.658435:0.130428:0.000000
a:@0.715203:0.136836:0.724462:0.136836:0.724462:0.120430:0.715203:0.120430:0.000000
10:@0.724387:0.140009:0.734817:0.140009:0.734817:0.130428:0.724387:0.130428:0.000000:0.000000
 =:@0.734767:0.136836:0.749695:0.136836:0.749695:0.120402:0.734767:0.120402:0.000000:0.000000
b.  1,       ,       , ...,   =       ,     =:@0.545774:0.192180:0.767423:0.192180:0.767423:0.175747:0.545774:0.175747:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.666263:0.192180:0.675522:0.192180:0.675522:0.175774:0.666263:0.175774:0.000000
4:@0.675453:0.195353:0.680690:0.195353:0.680690:0.185772:0.675453:0.185772:0.000000
a:@0.738112:0.192180:0.747370:0.192180:0.747370:0.175774:0.738112:0.175774:0.000000
8:@0.747305:0.195353:0.752542:0.195353:0.752542:0.185772:0.747305:0.185772:0.000000
2:@0.597494:0.185082:0.606476:0.185082:0.606476:0.168649:0.597494:0.168649:0.000000
3:@0.597494:0.201475:0.606476:0.201475:0.606476:0.185041:0.597494:0.185041:0.000000
4:@0.627536:0.185082:0.636519:0.185082:0.636519:0.168649:0.627536:0.168649:0.000000
9:@0.627536:0.201475:0.636519:0.201475:0.636519:0.185041:0.627536:0.185041:0.000000
16:@0.702204:0.185082:0.720096:0.185082:0.720096:0.168649:0.702204:0.168649:0.000000:0.000000
81:@0.702204:0.201475:0.720096:0.201475:0.720096:0.185041:0.702204:0.185041:0.000000:0.000000
c.     2 , – 2, 2    2 , ...,   = 4   2 , ..., :@0.545898:0.247342:0.786265:0.247342:0.786265:0.230908:0.545898:0.230908:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.695785:0.247342:0.705044:0.247342:0.705044:0.230936:0.695785:0.230936:0.000000
4:@0.704979:0.250514:0.710215:0.250514:0.710215:0.240933:0.704979:0.240933:0.000000
a:@0.786081:0.247342:0.795340:0.247342:0.795340:0.230936:0.786081:0.230936:0.000000
11:@0.795271:0.250514:0.805702:0.250514:0.805702:0.240933:0.795271:0.240933:0.000000:0.000000
 =:@0.805651:0.247342:0.820579:0.247342:0.820579:0.230908:0.805651:0.230908:0.000000:0.000000
d.  3,     3 , 1, ...,   =      , ..., :@0.545898:0.306676:0.734074:0.306676:0.734074:0.290242:0.545898:0.290242:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.657461:0.306676:0.666720:0.306676:0.666720:0.290270:0.657461:0.290270:0.000000
4:@0.666650:0.309849:0.671887:0.309849:0.671887:0.300268:0.666650:0.300268:0.000000
a:@0.733890:0.306676:0.743149:0.306676:0.743149:0.290270:0.733890:0.290270:0.000000
12:@0.743088:0.309849:0.753519:0.309849:0.753519:0.300268:0.743088:0.300268:0.000000:0.000000
 =:@0.753468:0.306676:0.768397:0.306676:0.768397:0.290242:0.753468:0.290242:0.000000:0.000000
1:@0.694734:0.299741:0.703717:0.299741:0.703717:0.283307:0.694734:0.283307:0.000000
3:@0.694734:0.316133:0.703717:0.316133:0.703717:0.299699:0.694734:0.299699:0.000000
a. :@0.545774:0.459466:0.561218:0.459466:0.561218:0.443032:0.545774:0.443032:0.000000:0.000000:0.000000
b:@0.575976:0.459466:0.585234:0.459466:0.585234:0.443060:0.575976:0.443060:0.000000
n:@0.585169:0.462638:0.590707:0.462638:0.590707:0.453074:0.585169:0.453074:0.000000
 = 5 ,    =      (1 – 5:@0.590668:0.459466:0.732037:0.459466:0.732037:0.443032:0.590668:0.443032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–:@0.618361:0.453402:0.623726:0.453402:0.623726:0.443821:0.618361:0.443821:0.000000
n:@0.623683:0.453402:0.629221:0.453402:0.629221:0.443837:0.623683:0.443837:0.000000
S:@0.640203:0.459466:0.648266:0.459466:0.648266:0.443060:0.640203:0.443060:0.000000
n:@0.648197:0.462638:0.653735:0.462638:0.653735:0.453074:0.648197:0.453074:0.000000
– –1:@0.731867:0.453402:0.753244:0.453402:0.753244:0.443821:0.731867:0.443821:0.000000:0.000000:0.000000:0.000000
n:@0.737189:0.453402:0.742727:0.453402:0.742727:0.443837:0.737189:0.443837:0.000000
),  :@0.753192:0.459466:0.767274:0.459466:0.767274:0.443032:0.753192:0.443032:0.000000:0.000000:0.000000:0.000000
∀:@0.767163:0.460048:0.779441:0.460048:0.779441:0.442394:0.767163:0.442394:0.000000
n:@0.779349:0.459466:0.788847:0.459466:0.788847:0.443060:0.779349:0.443060:0.000000
    .:@0.788773:0.459466:0.828679:0.459466:0.828679:0.443032:0.788773:0.443032:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.792741:0.459864:0.807377:0.459864:0.807377:0.443013:0.792741:0.443013:0.000000
ℕ:@0.811247:0.460048:0.825568:0.460048:0.825568:0.442394:0.811247:0.442394:0.000000
b. :@0.545774:0.533690:0.562672:0.533690:0.562672:0.517256:0.545774:0.517256:0.000000:0.000000:0.000000
b:@0.575976:0.533690:0.585234:0.533690:0.585234:0.517284:0.575976:0.517284:0.000000
n:@0.585169:0.536862:0.590707:0.536862:0.590707:0.527297:0.585169:0.527297:0.000000
 =             ,    =          – 1, :@0.590668:0.533690:0.764971:0.533690:0.764971:0.517256:0.590668:0.517256:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.667886:0.533690:0.675949:0.533690:0.675949:0.517284:0.667886:0.517284:0.000000
n:@0.675885:0.536862:0.681422:0.536862:0.681422:0.527297:0.675885:0.527297:0.000000
∀:@0.764787:0.534272:0.777065:0.534272:0.777065:0.516618:0.764787:0.516618:0.000000
n:@0.776973:0.533690:0.786471:0.533690:0.786471:0.517284:0.776973:0.517284:0.000000
    .:@0.786397:0.533690:0.826284:0.533690:0.826284:0.517256:0.786397:0.517256:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.790346:0.534088:0.804983:0.534088:0.804983:0.517236:0.790346:0.517236:0.000000
ℕ:@0.808852:0.534272:0.823173:0.534272:0.823173:0.516618:0.808852:0.516618:0.000000
c. :@0.545774:0.603947:0.560850:0.603947:0.560850:0.587513:0.545774:0.587513:0.000000:0.000000:0.000000
b:@0.575976:0.603947:0.585234:0.603947:0.585234:0.587541:0.575976:0.587541:0.000000
n:@0.585169:0.607120:0.590707:0.607120:0.590707:0.597555:0.585169:0.597555:0.000000
 = 5  –      ,    = 2 (–1)         + 1 , :@0.590668:0.603947:0.815825:0.603947:0.815825:0.587513:0.590668:0.587513:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.670114:0.603947:0.678176:0.603947:0.678176:0.587541:0.670114:0.587541:0.000000
n:@0.678107:0.607120:0.683645:0.607120:0.683645:0.597555:0.678107:0.597555:0.000000
n:@0.742871:0.597883:0.748408:0.597883:0.748408:0.588319:0.742871:0.588319:0.000000
∀:@0.815666:0.604530:0.827944:0.604530:0.827944:0.586876:0.815666:0.586876:0.000000
n:@0.827852:0.603947:0.837350:0.603947:0.837350:0.587541:0.827852:0.587541:0.000000
    .:@0.837277:0.603947:0.877165:0.603947:0.877165:0.587513:0.837277:0.587513:0.000000:0.000000:0.000000:0.000000:0.000000
∈:@0.841227:0.604346:0.855864:0.604346:0.855864:0.587494:0.841227:0.587494:0.000000
ℕ:@0.859733:0.604530:0.874054:0.604530:0.874054:0.586876:0.859733:0.586876:0.000000
a.  La razón  .:@0.546961:0.754204:0.650239:0.754204:0.650239:0.737770:0.546961:0.737770:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.641827:0.754204:0.647110:0.754204:0.647110:0.737798:0.641827:0.737798:0.000000
b.  El primer término de la progresión.:@0.546961:0.798371:0.828813:0.798371:0.828813:0.781937:0.546961:0.781937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c.  La suma de los cuatro primeros términos.:@0.546961:0.843078:0.875632:0.843078:0.875632:0.826644:0.546961:0.826644:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.678132:0.452219:0.687115:0.452219:0.687115:0.435785:0.678132:0.435785:0.000000
4:@0.678132:0.468611:0.687115:0.468611:0.687115:0.452178:0.678132:0.452178:0.000000
3:@0.635724:0.526365:0.644707:0.526365:0.644707:0.509931:0.635724:0.509931:0.000000
2:@0.635724:0.542757:0.644707:0.542757:0.644707:0.526323:0.635724:0.526323:0.000000
3:@0.641095:0.595382:0.650078:0.595382:0.650078:0.578948:0.641095:0.578948:0.000000
2:@0.641095:0.611774:0.650078:0.611774:0.650078:0.595340:0.641095:0.595340:0.000000
3:@0.707679:0.526365:0.716662:0.526365:0.716662:0.509931:0.707679:0.509931:0.000000
2:@0.707679:0.542757:0.716662:0.542757:0.716662:0.526323:0.707679:0.526323:0.000000
3:@0.760880:0.596811:0.769862:0.596811:0.769862:0.580378:0.760880:0.580378:0.000000
2:@0.760880:0.613204:0.769862:0.613204:0.769862:0.596770:0.760880:0.596770:0.000000
1:@0.611724:0.526365:0.620707:0.526365:0.620707:0.509931:0.611724:0.509931:0.000000
2:@0.611724:0.542757:0.620707:0.542757:0.620707:0.526323:0.611724:0.526323:0.000000
n:@0.652081:0.516376:0.658122:0.516376:0.658122:0.505942:0.652081:0.505942:0.000000
n:@0.615978:0.605274:0.622019:0.605274:0.622019:0.594839:0.615978:0.594839:0.000000
n:@0.724034:0.516375:0.730074:0.516375:0.730074:0.505941:0.724034:0.505941:0.000000
+1:@0.730074:0.516375:0.743057:0.516375:0.743057:0.505773:0.730074:0.505773:0.000000:0.000000
n:@0.777230:0.585710:0.783271:0.585710:0.783271:0.575276:0.777230:0.575276:0.000000
+1:@0.783271:0.585710:0.796254:0.585710:0.796254:0.575109:0.783271:0.575109:0.000000:0.000000
Evaluación formativa:@0.131433:0.098522:0.446328:0.098522:0.446328:0.067281:0.131433:0.067281:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
MUESTRA EDITORIAL:@0.248902:0.947499:0.888171:0.113285:0.743922:0.050540:0.104653:0.884754:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 Muestra editorial solo para fines didácticos – Prohibida su venta:@0.095585:0.659700:0.095585:0.341447:0.077558:0.341447:0.077558:0.659700:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000