78:@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
Progresiones geométricas. Definición:@0.287495:0.421689:0.664342:0.421689:0.664342:0.400179:0.287495:0.400179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Es una sucesión de números cuyos términos son tales que cada uno de ellos a partir :@0.287495:0.444470:0.907679:0.444470:0.907679:0.428081:0.287495:0.428081:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
del segundo es igual al término precedente multiplicado por un número fijo que se :@0.287495:0.461066:0.907674:0.461066:0.907674:0.444677:0.287495:0.444677:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
llama razón ( ), que es un número que puede ser positivo o negativo y que se calcula :@0.287495:0.477662:0.907567:0.477662:0.907567:0.461274:0.287495:0.461274:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.380334:0.477662:0.385623:0.477662:0.385623:0.461301:0.380334:0.461301:0.000000
dividiendo un término por el que le precede, es decir::@0.287495:0.494259:0.679868:0.494259:0.679868:0.477870:0.287495:0.477870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.568763:0.521075:0.574052:0.521075:0.574052:0.504713:0.568763:0.504713:0.000000
a:@0.593682:0.512273:0.602951:0.512273:0.602951:0.495912:0.593682:0.495912:0.000000
a:@0.598604:0.531919:0.607873:0.531919:0.607873:0.515558:0.598604:0.515558:0.000000
n:@0.602635:0.514277:0.608146:0.514277:0.608146:0.504795:0.602635:0.504795:0.000000
n:@0.607558:0.533923:0.613069:0.533923:0.613069:0.524441:0.607558:0.524441:0.000000
=:@0.578920:0.521752:0.589037:0.521752:0.589037:0.506179:0.578920:0.506179:0.000000
+:@0.608550:0.514670:0.614413:0.514670:0.614413:0.505645:0.608550:0.505645:0.000000
1:@0.614306:0.514277:0.619518:0.514277:0.619518:0.504779:0.614306:0.504779:0.000000
Si   es negativo, los términos se alternan de signo: uno positivo, el otro negativo.:@0.287495:0.562401:0.859465:0.562401:0.859465:0.546012:0.287495:0.546012:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.303380:0.562401:0.308669:0.562401:0.308669:0.546040:0.303380:0.546040:0.000000
Si la razón es   > 1, la progresión es creciente; y decreciente cuando 0 <   < 1.:@0.287495:0.586120:0.847985:0.586120:0.847985:0.569731:0.287495:0.569731:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r:@0.384885:0.586120:0.390174:0.586120:0.390174:0.569759:0.384885:0.569759:0.000000
r:@0.811443:0.586120:0.816732:0.586120:0.816732:0.569759:0.811443:0.569759:0.000000
Término n-ésimo:@0.287495:0.618801:0.433682:0.618801:0.433682:0.600364:0.287495:0.600364:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El término n-ésimo o término general   de una progresión geométrica se calcula :@0.287495:0.642212:0.907647:0.642212:0.907647:0.625823:0.287495:0.625823:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.576992:0.642212:0.586261:0.642212:0.586261:0.625850:0.576992:0.625850:0.000000
n:@0.586291:0.645375:0.591835:0.645375:0.591835:0.635837:0.586291:0.635837:0.000000
mediante la expresión: :@0.287502:0.658808:0.457348:0.658808:0.457348:0.642419:0.287502:0.642419:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.556472:0.683786:0.565741:0.683786:0.565741:0.667424:0.556472:0.667424:0.000000
a r:@0.589568:0.683786:0.616528:0.683786:0.616528:0.667424:0.589568:0.667424:0.000000:0.000000:0.000000
n:@0.565413:0.685793:0.570923:0.685793:0.570923:0.676311:0.565413:0.676311:0.000000
n:@0.618394:0.676127:0.623905:0.676127:0.623905:0.666645:0.618394:0.666645:0.000000
=:@0.576250:0.684467:0.586367:0.684467:0.586367:0.668894:0.576250:0.668894:0.000000
⋅:@0.605144:0.684467:0.609751:0.684467:0.609751:0.668894:0.605144:0.668894:0.000000
−:@0.624309:0.676520:0.630172:0.676520:0.630172:0.667495:0.624309:0.667495:0.000000
1:@0.597663:0.685794:0.602875:0.685794:0.602875:0.676295:0.597663:0.676295:0.000000
1:@0.629916:0.676127:0.635128:0.676127:0.635128:0.666629:0.629916:0.666629:0.000000
Suma de los   primeros términos de una progresión geométrica.:@0.287495:0.720929:0.796295:0.720929:0.796295:0.704028:0.287495:0.704028:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.387005:0.720929:0.397140:0.720929:0.397140:0.705273:0.387005:0.705273:0.000000
La suma de los   términos de una progresión geométrica es::@0.287495:0.741093:0.729385:0.741093:0.729385:0.724705:0.287495:0.724705:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
n:@0.399922:0.741093:0.409431:0.741093:0.409431:0.724732:0.399922:0.724732:0.000000
S:@0.487269:0.764812:0.495341:0.764812:0.495341:0.748451:0.487269:0.748451:0.000000
n:@0.495339:0.767976:0.500883:0.767976:0.500883:0.758438:0.495339:0.758438:0.000000
 =   +   + … + :@0.500882:0.764812:0.624550:0.764812:0.624550:0.748424:0.500882:0.748424:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a:@0.519937:0.764812:0.529206:0.764812:0.529206:0.748451:0.519937:0.748451:0.000000
1:@0.529206:0.767976:0.534448:0.767976:0.534448:0.758421:0.529206:0.758421:0.000000
a:@0.553502:0.764812:0.562771:0.764812:0.562771:0.748451:0.553502:0.748451:0.000000
2:@0.562771:0.767976:0.568013:0.767976:0.568013:0.758421:0.562771:0.758421:0.000000
a:@0.624550:0.764812:0.633819:0.764812:0.633819:0.748451:0.624550:0.748451:0.000000
n:@0.633818:0.767976:0.639361:0.767976:0.639361:0.758438:0.633818:0.758438:0.000000
 – 2:@0.639361:0.767976:0.654681:0.767976:0.654681:0.758421:0.639361:0.758421:0.000000:0.000000:0.000000:0.000000
 + :@0.654681:0.764812:0.673735:0.764812:0.673735:0.748424:0.654681:0.748424:0.000000:0.000000:0.000000
a:@0.673735:0.764812:0.683004:0.764812:0.683004:0.748451:0.673735:0.748451:0.000000
n:@0.683004:0.767976:0.688548:0.767976:0.688548:0.758438:0.683004:0.758438:0.000000
 – 1:@0.688548:0.767976:0.703868:0.767976:0.703868:0.758421:0.688548:0.758421:0.000000:0.000000:0.000000:0.000000
S:@0.494791:0.799853:0.502863:0.799853:0.502863:0.783492:0.494791:0.783492:0.000000
a:@0.526984:0.799853:0.536253:0.799853:0.536253:0.783492:0.526984:0.783492:0.000000
r:@0.552801:0.791085:0.558090:0.791085:0.558090:0.774724:0.552801:0.774724:0.000000
r:@0.556727:0.810696:0.562015:0.810696:0.562015:0.794335:0.556727:0.794335:0.000000
S:@0.609393:0.799853:0.617464:0.799853:0.617464:0.783492:0.609393:0.783492:0.000000
ar a:@0.643060:0.791057:0.690179:0.791057:0.690179:0.774696:0.643060:0.774696:0.000000:0.000000:0.000000:0.000000
r:@0.655370:0.810696:0.660658:0.810696:0.660658:0.794335:0.655370:0.794335:0.000000
n:@0.502854:0.801857:0.508365:0.801857:0.508365:0.792375:0.502854:0.792375:0.000000
n:@0.559969:0.783430:0.565480:0.783430:0.565480:0.773948:0.559969:0.773948:0.000000
n:@0.617447:0.801857:0.622957:0.801857:0.622957:0.792375:0.617447:0.792375:0.000000
n:@0.652839:0.783390:0.658350:0.783390:0.658350:0.773908:0.652839:0.773908:0.000000
=:@0.513690:0.800531:0.523806:0.800531:0.523806:0.784958:0.513690:0.784958:0.000000
− :@0.570170:0.791763:0.597834:0.791183:0.597834:0.775610:0.570170:0.776190:0.000000:0.000000:0.000000
−:@0.566245:0.811374:0.576362:0.811374:0.576362:0.795801:0.566245:0.795801:0.000000
:@0.542271:0.791182:0.549347:0.791182:0.549347:0.775609:0.542271:0.775609:0.000000
:@0.542274:0.814635:0.549350:0.814635:0.549350:0.799063:0.542274:0.799063:0.000000
:@0.542274:0.803713:0.549350:0.803713:0.549350:0.788140:0.542274:0.788140:0.000000
:@0.590751:0.814635:0.597827:0.814635:0.597827:0.799063:0.590751:0.799063:0.000000
:@0.590751:0.803713:0.597827:0.803713:0.597827:0.788140:0.590751:0.788140:0.000000
=:@0.628288:0.800532:0.638405:0.800532:0.638405:0.784959:0.628288:0.784959:0.000000
−:@0.668239:0.791736:0.678356:0.791736:0.678356:0.776163:0.668239:0.776163:0.000000
−:@0.664885:0.811375:0.675002:0.811375:0.675002:0.795802:0.664885:0.795802:0.000000
1:@0.535103:0.801857:0.540314:0.801857:0.540314:0.792359:0.535103:0.792359:0.000000
1:@0.689018:0.793056:0.694229:0.793056:0.694229:0.783558:0.689018:0.783558:0.000000
1:@0.581433:0.791091:0.590426:0.791091:0.590426:0.774702:0.581433:0.774702:0.000000
1:@0.577506:0.810698:0.586499:0.810698:0.586499:0.794309:0.577506:0.794309:0.000000
1:@0.676131:0.810698:0.685124:0.810698:0.685124:0.794309:0.676131:0.794309:0.000000
; :@0.599651:0.799853:0.609399:0.799853:0.609399:0.783464:0.599651:0.783464:0.000000:0.000000
Interpolación de medios geométricos:@0.287495:0.849565:0.584361:0.849565:0.584361:0.832664:0.287495:0.832664:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La interpolación de medios geométricos consiste en insertar un número determi-:@0.287495:0.869729:0.903642:0.869729:0.903642:0.853340:0.287495:0.853340:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nado de términos entre dos números dados, de modo que todos ellos formen una :@0.287495:0.886326:0.907678:0.886326:0.907678:0.869937:0.287495:0.869937:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
progresión geométrica.:@0.287495:0.902922:0.458889:0.902922:0.458889:0.886533:0.287495:0.886533:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nidad de conocimientos:@0.306727:0.390562:0.480398:0.390562:0.480398:0.375197:0.306727:0.375197:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
U:@0.284892:0.391346:0.297460:0.391346:0.297460:0.374210:0.284892:0.374210:0.000000
Pienso y progreso:@0.294883:0.332662:0.417347:0.332662:0.417347:0.317298:0.294883:0.317298:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
¿Cómo imaginas que es el crecimiento exponencial?:@0.294883:0.351314:0.644268:0.351314:0.644268:0.336415:0.294883:0.336415:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Las enfermedades infecciosas suelen propagarse de manera acelerada en sus fases :@0.287495:0.168345:0.907696:0.168345:0.907696:0.151956:0.287495:0.151956:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
iniciales, siguiendo un patrón exponencial.:@0.287495:0.184941:0.599066:0.184941:0.599066:0.168553:0.287495:0.168553:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
En un pueblo pequeño, un brote de una nueva enfermedad comienza con 5 perso-:@0.287495:0.208660:0.903642:0.208660:0.903642:0.192271:0.287495:0.192271:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nas infectadas. Cada persona infectada contagia a 3 personas nuevas cada semana. :@0.287495:0.225257:0.899433:0.225257:0.899433:0.208868:0.287495:0.208868:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
a):@0.287495:0.248976:0.302403:0.248976:0.302403:0.232075:0.287495:0.232075:0.000000:0.000000
  ¿Cuántos nuevos casos se esperarían en la cuarta semana?:@0.302403:0.248976:0.743795:0.248976:0.743795:0.232587:0.302403:0.232587:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
b):@0.287495:0.276263:0.303712:0.276263:0.303712:0.259362:0.287495:0.259362:0.000000:0.000000
  ¿Cuál sería el número total de infectados después de cuatro semanas?:@0.303712:0.276263:0.828745:0.276263:0.828745:0.259874:0.303712:0.259874:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
c):@0.287495:0.303550:0.301316:0.303550:0.301316:0.286650:0.287495:0.286650:0.000000:0.000000
  Si el crecimiento continuara así, ¿en cuántos días se superarían los 10 000 casos?:@0.301316:0.303550:0.902074:0.303550:0.902074:0.287161:0.301316:0.287161:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Progresiones geométricas :@0.286308:0.075160:0.676826:0.075160:0.676826:0.041608:0.286308:0.041608:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.094760:0.108603:0.159692:0.108603:0.159692:0.011514:0.094760:0.011514:0.000000
Averigua cómo fue el :@0.101753:0.192000:0.247834:0.192000:0.247834:0.177101:0.101753:0.177101:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
crecimiento de los :@0.121236:0.207088:0.247834:0.207088:0.247834:0.192189:0.121236:0.192189:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
contagios por covid-19.:@0.087195:0.222175:0.244164:0.222175:0.244164:0.207276:0.087195:0.207276:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
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
Una buena gestión del :@0.093030:0.541682:0.248476:0.541682:0.248476:0.526783:0.093030:0.526783:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dinero permite acceder a :@0.077099:0.556769:0.248474:0.556769:0.248474:0.541870:0.077099:0.541870:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
servicios médicos, :@0.124290:0.571857:0.248474:0.571857:0.248474:0.556958:0.124290:0.556958:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
mantener hábitos :@0.126016:0.586945:0.248474:0.586945:0.248474:0.572046:0.126016:0.572046:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
saludables y afrontar :@0.107538:0.602032:0.248474:0.602032:0.248474:0.587133:0.107538:0.587133:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
imprevistos como :@0.125144:0.617120:0.248474:0.617120:0.248474:0.602221:0.125144:0.602221:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
enfermedades o :@0.135749:0.632207:0.248474:0.632207:0.248474:0.617308:0.135749:0.617308:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
emergencias.:@0.156270:0.647295:0.244805:0.647295:0.244805:0.632396:0.156270:0.632396:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Averigua a tus padres si :@0.096766:0.869673:0.247821:0.869673:0.247821:0.854799:0.096766:0.854799:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
tienen un plan de medicina :@0.071604:0.884760:0.247822:0.884760:0.247822:0.869886:0.071604:0.869886:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
prepagada o algún seguro :@0.076378:0.899848:0.247819:0.899848:0.247819:0.884974:0.076378:0.884974:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
médico.:@0.194650:0.914935:0.244807:0.914935:0.244807:0.900062:0.194650:0.900062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Educación  :@0.142458:0.502043:0.227766:0.502043:0.227766:0.485142:0.142458:0.485142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
financiera:@0.145644:0.515873:0.220694:0.515873:0.220694:0.498972:0.145644:0.498972:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.066866:0.764631:0.066866:0.721806:0.054955:0.721806:0.054955:0.764631:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Si una enfermedad :@0.072616:0.372308:0.189492:0.372308:0.189492:0.358899:0.072616:0.358899:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
infecto-contagiosa no se :@0.072616:0.384880:0.224366:0.384880:0.224366:0.371471:0.072616:0.371471:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
controla, puede propagarse :@0.072616:0.397452:0.242353:0.397452:0.242353:0.384043:0.072616:0.384043:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
rápidamente y llevar al :@0.072616:0.410023:0.211805:0.410023:0.211805:0.396614:0.072616:0.396614:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
colapso a los sistemas de :@0.072616:0.422595:0.226175:0.422595:0.226175:0.409186:0.072616:0.409186:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
salud, a aumentar el número :@0.072616:0.435167:0.247402:0.435167:0.247402:0.421758:0.072616:0.421758:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de muertes y a una gran :@0.072616:0.447739:0.221816:0.447739:0.221816:0.434330:0.072616:0.434330:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
afectación económica y social.:@0.072616:0.460310:0.245912:0.460310:0.245912:0.446901:0.072616:0.446901:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
©Shutterstock:@0.070380:0.322822:0.070380:0.279997:0.058469:0.279997:0.058469:0.322822:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.1.55. :@0.298180:0.945471:0.353423:0.945471:0.353423:0.933179:0.298180:0.933179:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Aplicar los  conocimientos sobre  progresiones geométricas, sumas parciales finitas  de sucesiones :@0.356612:0.945471:0.906619:0.945471:0.906619:0.933552:0.356612:0.933552:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
numéricas para resolver aplicaciones, en general y de manera especial en el ámbito financiero, de las sucesiones :@0.298180:0.956786:0.906611:0.956786:0.906611:0.944867:0.298180:0.944867:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
numéricas reales.:@0.298180:0.968102:0.389714:0.968102:0.389714:0.956183:0.298180:0.956183:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000