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Examen de Progresiones y Sucesiones

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Examen de Progresiones y Sucesiones

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Quiz de progresiones

Created by

Victor Fernando Mateo Hernandez
Victor Fernando Mateo Hernandez
Guatemala

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Examen de Progresiones y Sucesiones
 

Examen de Progresiones y SucesionesOnline version

Quiz de progresiones

by Victor Fernando Mateo Hernandez
1

En una progresión aritmética con A1=3 y d=5, ¿cuál es el 4to término?

2

¿Qué caracteriza a una progresión geométrica?

3

Si Tn = 2·3^(n-1), ¿cuál es T5?

4

Con A1=7 y d=-2, ¿cuál es T6?

5

Geométrica: A1=4, r=1/2, ¿A4?

6

Suma de los primeros n términos de una AP: A1=5, d=3, n=6. ¿S6?

7

En una GP, si |r|<1, ¿la secuencia converge a?

8

Término general de una AP con A1=a y d=c es?

9

Si A1=2, A2=6, ¿la diferencia d vale?

10

Si Tn+1/Tn = k constante, la sucesión es:

Explicación

A4 = A1 + (4-1)d = 3 + 15 = 18.

En una GP, rn+1 = rn·r con r constante.

T5 = 2·3^(5-1) = 2·81 = 162.

T6 = A1 + (6-1)d = 7 + 5(-2) = -3.

A4 = A1·r^3 = 4·(1/2)^3 = 4/8 = 0.5.

S_n = n/2[2A1+(n-1)d] = 3[10+15] = 75.

Si |r|<1, lim Tn = A1·0 = 0.

La fórmula correcta es An = a + (n-1)d, donde d es la diferencia.

d = A2 - A1 = 6 - 2 = 4.

La razón constante implica una progresión geométrica.

 
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