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Sucesiones y vida saludable

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Retos algebraicos con fórmulas generales

Created by

Camila
Camila
Mexico

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Sucesiones y vida saludable
 

Sucesiones y vida saludableOnline version

Retos algebraicos con fórmulas generales

by Camila
1

Si la cantidad de minutos de ejercicio diario sigue a_n = 40 + 5(n-1). ¿Cuántos minutos en el día 7?

2

Con la misma secuencia, ¿cuál es la suma de los primeros 6 términos S6?

3

La cantidad de vasos de agua diaria sigue a_n = 15 + 3(n-1). ¿Cuántos vasos en el día 10?

4

Si a_n = 100 - 6(n-1), ¿cuántos minutos de descanso en el día 12?

5

Para a_n = 4n + 2, ¿cuál es la suma de los primeros 7 términos S7?

6

Si a_n = 5n + 1, ¿qué valor tiene a5?

7

En la secuencia a_n = a1+(n-1)d con a1=9 y d=8, ¿a_10?

8

Para a_n = 80 - 4(n-1), ¿cuál es a_20?

9

Si a1=7, d=9, ¿a_5?

10

Dados a1=5, d=2, ¿S8?

Explicación

a_n es una progresión aritmética con a1=40 y d=5. a7=40+5·6=70.

S6 = 6/2[2·40 + (6-1)·5] = 3[80+25] = 315.

a10 = 15 + 3·9 = 42.

a12 = 100 - 6·11 = 100 - 66 = 34.

Con a1=6, d=4, S7 = 7/2(2·6 + 6·4) = 3.5(12+24) = 126.

a5 = 5·5 + 1 = 26.

a10 = 9 + 9·8 = 9 + 72 = 81.

a20 = 80 - 4·19 = 80 - 76 = 4.

a5 = 7 + 4·9 = 7 + 36 = 43. Nota: corregir: respuesta correcta es 43; rehacer pregunta.

S8 = 8/2(2·5 + 7·2) = 4(10 + 14) = 96.

 
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