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Sucesiones crecientes y decrecientes

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Sucesiones crecientes y decrecientes

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Quiz sobre secuencias

Created by

Irma Gisela Campoverde Ramos
Irma Gisela Campoverde Ramos
Ecuador

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Sucesiones crecientes y decrecientes
 

Sucesiones crecientes y decrecientesOnline version

Quiz sobre secuencias

by Irma Gisela Campoverde Ramos
1

¿Qué es una sucesión estrictamente creciente (a_n)?

2

¿Qué es una sucesión creciente no estricta (monótona creciente)?

3

Si una secuencia es estrictamente creciente, ¿qué pasa con sus términos a partir de n=1?

4

¿Qué indica una sucesión estrictamente decreciente?

5

¿Qué significa una sucesión decreciente no estricta (monótona decreciente)?

6

Si una secuencia es creciente y acotada, ¿qué puede ocurrir?

7

¿Qué es una sucesión que no es ni creciente ni decreciente?

8

¿Qué se evalúa para clasificar una sucesión como creciente?

9

¿Qué se evalúa para classificar una sucesión como decreciente?

10

Si a_n = 1/n, ¿la sucesión es creciente, decreciente o no monotónica?

Explicación

En una estrictamente creciente, a_{n+1} > a_n para todo n.

Monótona creciente permite a_{n+1} >= a_n.

Se cumple a_{n+1} > a_n para todo n.

Se cumple a_{n+1} < a_n para todo n.

Se cumple a_{n+1} <= a_n.

Una sucesión creciente acotada converge.

No cumple a_{n+1} > a_n ni a_{n+1} < a_n en todos los n.

Se verifica si a_{n+1} > a_n para todo n.

Se verifica si a_{n+1} < a_n para todo n.

1/n es decreciente para n≥1.

 
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