70:@0.058783:0.510692:0.077690:0.510692:0.077690:0.494068:0.058783:0.494068:0.000000:0.000000
7. :@0.115354:0.530502:0.134095:0.530502:0.134095:0.513366:0.115354:0.513366:0.000000:0.000000:0.000000
El primer término de una progresión geomé-:@0.148597:0.530502:0.487574:0.530502:0.487574:0.514113:0.148597:0.514113:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trica es 400 y el cuarto término es 50.:@0.148597:0.547098:0.419701:0.547098:0.419701:0.530709:0.148597:0.530709:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.148597:0.570817:0.167320:0.570817:0.167320:0.553917:0.148597:0.553917:0.000000:0.000000:0.000000
Calcula:@0.181841:0.570817:0.237271:0.570817:0.237271:0.554193:0.181841:0.554193:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la razón :@0.237271:0.570817:0.302413:0.570817:0.302413:0.554428:0.237271:0.554428:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r.:@0.302413:0.570817:0.310447:0.570817:0.310447:0.554456:0.302413:0.554456:0.000000:0.000000
 :@0.148597:0.667588:0.151914:0.667588:0.151914:0.651227:0.148597:0.651227:0.000000
b) :@0.148595:0.687755:0.168625:0.687755:0.168625:0.670854:0.148595:0.670854:0.000000:0.000000:0.000000
Halla:@0.181838:0.687755:0.220315:0.687755:0.220315:0.671131:0.181838:0.671131:0.000000:0.000000:0.000000:0.000000:0.000000
 el quinto término.:@0.220315:0.687755:0.355740:0.687755:0.355740:0.671366:0.220315:0.671366:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.148595:0.784526:0.151912:0.784526:0.151912:0.768164:0.148595:0.768164:0.000000
c) :@0.148595:0.804686:0.166230:0.804686:0.166230:0.787786:0.148595:0.787786:0.000000:0.000000:0.000000
Indaga:@0.181838:0.804686:0.235112:0.804686:0.235112:0.788062:0.181838:0.788062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la suma de los cuatro primeros :@0.235112:0.804686:0.491588:0.804686:0.491588:0.788298:0.235112:0.788298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos.:@0.181838:0.821283:0.250424:0.821283:0.250424:0.804894:0.181838:0.804894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.148595:0.918054:0.151912:0.918054:0.151912:0.901692:0.148595:0.901692:0.000000
9. :@0.507677:0.526196:0.526418:0.526196:0.526418:0.509060:0.507677:0.509060:0.000000:0.000000:0.000000
El primer término de una progresión geomé-:@0.540921:0.526196:0.879897:0.526196:0.879897:0.509807:0.540921:0.509807:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trica es 2 700 y el tercer término es 300.:@0.540921:0.542792:0.828720:0.542792:0.828720:0.526403:0.540921:0.526403:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.540921:0.566511:0.559643:0.566511:0.559643:0.549610:0.540921:0.549610:0.000000:0.000000:0.000000
Halla:@0.574164:0.566511:0.612641:0.566511:0.612641:0.549887:0.574164:0.549887:0.000000:0.000000:0.000000:0.000000:0.000000
 la razón :@0.612641:0.566511:0.677781:0.566511:0.677781:0.550122:0.612641:0.550122:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r.:@0.677781:0.566511:0.685815:0.566511:0.685815:0.550150:0.677781:0.550150:0.000000:0.000000
 :@0.540921:0.663282:0.544238:0.663282:0.544238:0.646920:0.540921:0.646920:0.000000
b) :@0.540917:0.683449:0.560948:0.683449:0.560948:0.666548:0.540917:0.666548:0.000000:0.000000:0.000000
Indaga:@0.574161:0.683449:0.627435:0.683449:0.627435:0.666825:0.574161:0.666825:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el cuarto término.:@0.627435:0.683449:0.761642:0.683449:0.761642:0.667060:0.627435:0.667060:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540917:0.780219:0.544732:0.780219:0.544732:0.763319:0.540917:0.763319:0.000000
c) :@0.540917:0.800380:0.558553:0.800380:0.558553:0.783480:0.540917:0.783480:0.000000:0.000000:0.000000
Halla:@0.574161:0.800380:0.612638:0.800380:0.612638:0.783756:0.574161:0.783756:0.000000:0.000000:0.000000:0.000000:0.000000
 la suma de los cuatro primeros :@0.612638:0.800380:0.883927:0.800380:0.883927:0.783991:0.612638:0.783991:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos.:@0.574161:0.816977:0.642747:0.816977:0.642747:0.800588:0.574161:0.800588:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540917:0.913747:0.544234:0.913747:0.544234:0.897386:0.540917:0.897386:0.000000
8. :@0.507677:0.100128:0.526418:0.100128:0.526418:0.082992:0.507677:0.082992:0.000000:0.000000:0.000000
El primer término de una progresión geomé-:@0.540921:0.100128:0.879897:0.100128:0.879897:0.083739:0.540921:0.083739:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
trica es 800 y el segundo término es 200.:@0.540921:0.116724:0.838669:0.116724:0.838669:0.100335:0.540921:0.100335:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a) :@0.540921:0.140443:0.559643:0.140443:0.559643:0.123542:0.540921:0.123542:0.000000:0.000000:0.000000
Calcula:@0.574164:0.140443:0.629594:0.140443:0.629594:0.123819:0.574164:0.123819:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la razón :@0.629594:0.140443:0.694736:0.140443:0.694736:0.124054:0.629594:0.124054:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r.:@0.694736:0.140443:0.702771:0.140443:0.702771:0.124082:0.694736:0.124082:0.000000:0.000000
 :@0.540921:0.237214:0.544238:0.237214:0.544238:0.220852:0.540921:0.220852:0.000000
b) :@0.540917:0.257381:0.560948:0.257381:0.560948:0.240480:0.540917:0.240480:0.000000:0.000000:0.000000
Halla:@0.574161:0.257381:0.612638:0.257381:0.612638:0.240757:0.574161:0.240757:0.000000:0.000000:0.000000:0.000000:0.000000
 el quinto término.:@0.612638:0.257381:0.748061:0.257381:0.748061:0.240992:0.612638:0.240992:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540917:0.354152:0.544234:0.354152:0.544234:0.337790:0.540917:0.337790:0.000000
c) :@0.540917:0.374312:0.558553:0.374312:0.558553:0.357412:0.540917:0.357412:0.000000:0.000000:0.000000
Determina:@0.574161:0.374312:0.655850:0.374312:0.655850:0.357688:0.574161:0.357688:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la suma de los tres primeros :@0.655850:0.374312:0.883891:0.374312:0.883891:0.357923:0.655850:0.357923:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos.:@0.574161:0.390909:0.642747:0.390909:0.642747:0.374520:0.574161:0.374520:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.540917:0.487679:0.544234:0.487679:0.544234:0.471318:0.540917:0.471318:0.000000
6. :@0.115354:0.100407:0.134095:0.100407:0.134095:0.083271:0.115354:0.083271:0.000000:0.000000:0.000000
El cuarto término de una progresión geométrica :@0.148597:0.100407:0.491663:0.100407:0.491663:0.084018:0.148597:0.084018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.487574:0.100407:0.491609:0.100407:0.491609:0.084018:0.487574:0.084018:0.000000
es 4 y el primer término  .:@0.148597:0.127058:0.344609:0.125803:0.344609:0.109414:0.148597:0.110669:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
1:@0.331194:0.116845:0.340187:0.116845:0.340187:0.100456:0.331194:0.100456:0.000000
2:@0.330408:0.136294:0.339401:0.136294:0.339401:0.119905:0.330408:0.119905:0.000000
a) :@0.148595:0.150781:0.167317:0.150781:0.167317:0.133880:0.148595:0.133880:0.000000:0.000000:0.000000
Determina:@0.181838:0.150781:0.263528:0.150781:0.263528:0.134157:0.181838:0.134157:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la razón :@0.263528:0.150781:0.328669:0.150781:0.328669:0.134392:0.263528:0.134392:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r.:@0.328669:0.150781:0.336704:0.150781:0.336704:0.134419:0.328669:0.134419:0.000000:0.000000
 :@0.148595:0.247551:0.151912:0.247551:0.151912:0.231190:0.148595:0.231190:0.000000
b) :@0.148595:0.267717:0.168625:0.267717:0.168625:0.250816:0.148595:0.250816:0.000000:0.000000:0.000000
Halla:@0.181838:0.267717:0.220315:0.267717:0.220315:0.251093:0.181838:0.251093:0.000000:0.000000:0.000000:0.000000:0.000000
 el décimo término.:@0.220315:0.267717:0.362777:0.267717:0.362777:0.251328:0.220315:0.251328:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.148595:0.364488:0.151912:0.364488:0.151912:0.348127:0.148595:0.348127:0.000000
c) :@0.148595:0.384650:0.166230:0.384650:0.166230:0.367749:0.148595:0.367749:0.000000:0.000000:0.000000
Indaga:@0.181838:0.384650:0.235112:0.384650:0.235112:0.368026:0.181838:0.368026:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 la suma de los tres primeros  :@0.235112:0.384650:0.491607:0.384650:0.491607:0.368261:0.235112:0.368261:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
términos.:@0.181838:0.401246:0.250424:0.401246:0.250424:0.384857:0.181838:0.384857:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 :@0.148595:0.498017:0.151912:0.498017:0.151912:0.481656:0.148595:0.481656:0.000000
=:@0.222513:0.623128:0.232630:0.623128:0.232630:0.607555:0.222513:0.607555:0.000000
r:@0.213299:0.622451:0.218588:0.622451:0.218588:0.606089:0.213299:0.606089:0.000000
1:@0.237439:0.613931:0.246432:0.613931:0.246432:0.597542:0.237439:0.597542:0.000000
2:@0.236647:0.633374:0.245640:0.633374:0.245640:0.616985:0.236647:0.616985:0.000000
r:@0.210315:0.202583:0.215604:0.202583:0.215604:0.186221:0.210315:0.186221:0.000000
 = 2:@0.215604:0.202583:0.243651:0.202583:0.243651:0.186194:0.215604:0.186194:0.000000:0.000000:0.000000:0.000000
u:@0.210315:0.318660:0.219640:0.318660:0.219640:0.302299:0.210315:0.302299:0.000000
10:@0.219640:0.321825:0.230125:0.321825:0.230125:0.312271:0.219640:0.312271:0.000000:0.000000
 = 256:@0.230125:0.318662:0.276157:0.318662:0.276157:0.302273:0.230125:0.302273:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
u:@0.210315:0.740320:0.219640:0.740320:0.219640:0.723959:0.210315:0.723959:0.000000
5:@0.219640:0.743485:0.224883:0.743485:0.224883:0.733930:0.219640:0.733930:0.000000
 = 25:@0.224882:0.740321:0.261921:0.740321:0.261921:0.723933:0.224882:0.723933:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.603054:0.441642:0.611125:0.441642:0.611125:0.425281:0.603054:0.425281:0.000000
3:@0.611132:0.444803:0.616374:0.444803:0.616374:0.435248:0.611132:0.435248:0.000000
 = 1 050:@0.616373:0.441640:0.675434:0.441640:0.675434:0.425251:0.616373:0.425251:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.200830:0.873270:0.208902:0.873270:0.208902:0.856908:0.200830:0.856908:0.000000
4:@0.208902:0.876433:0.214144:0.876433:0.214144:0.866879:0.208902:0.866879:0.000000
 = 750:@0.214145:0.873270:0.260177:0.873270:0.260177:0.856881:0.214145:0.856881:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
S:@0.212461:0.450057:0.220533:0.450057:0.220533:0.433696:0.212461:0.433696:0.000000
==:@0.229728:0.450735:0.266970:0.450735:0.266970:0.435162:0.229728:0.435162:0.000000:0.000000
7:@0.243494:0.441538:0.252486:0.441538:0.252486:0.425149:0.243494:0.425149:0.000000
2:@0.243872:0.460979:0.252865:0.460979:0.252865:0.444590:0.243872:0.444590:0.000000
3,5:@0.269523:0.450057:0.291821:0.450057:0.291821:0.433668:0.269523:0.433668:0.000000:0.000000:0.000000
3:@0.220261:0.452061:0.225473:0.452061:0.225473:0.442563:0.220261:0.442563:0.000000
=:@0.615258:0.192250:0.625375:0.192250:0.625375:0.176677:0.615258:0.176677:0.000000
r:@0.606044:0.191572:0.611333:0.191572:0.611333:0.175211:0.606044:0.175211:0.000000
1:@0.630903:0.183053:0.639895:0.183053:0.639895:0.166664:0.630903:0.166664:0.000000
4:@0.630126:0.202496:0.639118:0.202496:0.639118:0.186107:0.630126:0.186107:0.000000
u:@0.605677:0.309184:0.615001:0.309184:0.615001:0.292823:0.605677:0.292823:0.000000
=:@0.624049:0.309862:0.598675:0.309862:0.598675:0.294289:0.624049:0.294289:0.000000
=:@0.659541:0.309862:0.634166:0.309862:0.634166:0.294289:0.659541:0.294289:0.000000
25:@0.638183:0.300665:0.655966:0.300665:0.655966:0.284276:0.638183:0.284276:0.000000:0.000000
8:@0.642219:0.320106:0.651212:0.320106:0.651212:0.303717:0.642219:0.303717:0.000000
3,125:@0.672216:0.309184:0.710932:0.309184:0.710932:0.292795:0.672216:0.292795:0.000000:0.000000:0.000000:0.000000:0.000000
5:@0.614578:0.311188:0.619789:0.311188:0.619789:0.301690:0.614578:0.301690:0.000000
=:@0.615258:0.620196:0.625375:0.620196:0.625375:0.604623:0.615258:0.604623:0.000000
r:@0.606044:0.619519:0.611333:0.619519:0.611333:0.603157:0.606044:0.603157:0.000000
1:@0.629963:0.610999:0.638956:0.610999:0.638956:0.594610:0.629963:0.594610:0.000000
3:@0.629392:0.630442:0.638384:0.630442:0.638384:0.614053:0.629392:0.614053:0.000000
u  :@0.600896:0.735630:0.618781:0.735630:0.618781:0.719269:0.600896:0.719269:0.000000:0.000000:0.000000
4:@0.610220:0.738794:0.615463:0.738794:0.615463:0.729239:0.610220:0.729239:0.000000
= 100:@0.618781:0.735630:0.660777:0.735630:0.660777:0.719242:0.618781:0.719242:0.000000:0.000000:0.000000:0.000000:0.000000
S  :@0.600906:0.867710:0.617528:0.867716:0.617528:0.851355:0.600906:0.851349:0.000000:0.000000:0.000000
4:@0.608967:0.870880:0.614210:0.870880:0.614210:0.861325:0.608967:0.861325:0.000000
= 4 000:@0.617528:0.867716:0.672553:0.867716:0.672553:0.851327:0.617528:0.851327:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000