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Quiz: Progresiones aritméticas

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Quiz: Progresiones aritméticas

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Conoce las PA

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Mibzar Terán
Mibzar Terán
Ecuador

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Quiz: Progresiones aritméticas
 

Quiz: Progresiones aritméticasOnline version

Conoce las PA

by Mibzar Terán
1

¿Cuál es la fórmula del término n-ésimo de una progresión aritmética?

2

Si a1=5 y d=3, ¿cuál es a4?

3

La suma de los primeros n términos Sn = n/2(2a1+(n-1)d). ¿Qué representa a1?

4

La progresión 7, 4, 1, -2,... ¿cuál es la razón d?

5

En una Progresión aritmética., si a5=20 y d=4, ¿a1?

6

¿Qué comportamiento tiene una Progresión aritmética. con d>0?

7

En una Progresión aritmética., la suma de términos equidistantes del inicio y del final es...

8

Si a1=2 y d=-1, ¿cuánto es a10?

9

¿Cuál es la suma de los tres primeros términos de la Progresión aritmética. 2,5,8,...?

10

Si una Progresión aritmética. tiene d=0, ¿cómo es?

Explicación

El término n se obtiene sumando (n-1) veces la diferencia al primer término.

a4 = 5 + (4-1)*3 = 14.

a1 es el primer término de la progresión.

Cada término disminuye 3 unidades: d=-3.

a5 = a1 + 4d => 20 = a1 + 16, entonces a1 = 4.

Con d>0 la secuencia aumenta cada término.

a_k + a_{n+1-k} = a1 + a_n es constante.

a10 = 2 + 9(-1) = -7.

S_3 = 2+5+8 = 15.

Con d=0 todos los términos son iguales, es constante.

 
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