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Sucesiones Aritméticas: 5 preguntas

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Quiz sobre sucesiones aritméticas

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Ecuador

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Sucesiones Aritméticas: 5 preguntas
 

Sucesiones Aritméticas: 5 preguntasOnline version

Quiz sobre sucesiones aritméticas

by luis rojas
1

1) ¿Cuál es la fórmula general de una sucesión aritmética?

2

2) Si a_1=5 y d=3, ¿cuál es a_5?

3

3) Con a_1=-2 y d=4, ¿qué vale a_7?

4

4) ¿Es aritmética la secuencia 2, 5, 8, 11, ...?

5

5) Encuentra n si a_1=7, d=-2 y a_n=1.

Explicación

La fórmula correcta es a_n = a_1 + (n-1)d, donde a_1 es el primer término y d es la razón.

a_5 = 5 + (5-1)·3 = 5 + 12 = 17.

a_7 = -2 + (7-1)·4 = -2 + 24 = 22.

Cada salto es de 3, por lo que es aritmética con d=3.

a_n = 7 + (n-1)(-2) = 1 → (n-1)(-2) = -6 → n-1=3 → n=4.

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