Question

INTERPOLAR 6 MEDIOS ARITMETICOS ENTRE 10 Y 15

Answer 1

Tenemos:


10. - . - . - . - . - . - . 15

Primer termino(a1) = 10
Ultimo termino(an) = 15
Numero de terminos(n) = 8
Diferncia(d) = ?

Formula.
an = a1 + (n - 1) * d
(an - a1) /(n - 1) = d
(15 - 10)/(8 - 1) = d
5/7 = d

1er termino = 10
2do termino = 10 + 5/7 = 70/7 + 5/7 = (70 + 5)/7 = 75/7
3er termino = 75/7 + 5/7 = (75 + 5)/7 = 80/7
4to termino = 80/7 + 5/7 = (80 + 5)/7 = 85/7
5to termino = 85/7 + 5/7 = ( 85 + 5) = 90/7
6to termino = 90/7 + 5/7 = (90 + 5)/7 = 95/7
7mo termino = 95/7 + 5/7 = (95+5)/7 = 100/7
8vo termino = 100/7 + 5/7 = (100 + 5)/7 = 105/7 = 15

Respuesta.
10. 75/7 . 80/7. 85/7 . 90/7 . 95/7. 100/7 . 15

Answer 2

Respuesta:

n=6+2=8

10, _$\frac{75}{7}$_ , _$\frac{80}{7}$_ , _$\frac{85}{7}$_ , _$\frac{90}{7}$_ , _$\frac{95}{7}$_ , _$\frac{100}{7}$_ , 15

$d=\frac{an-a1}{n-1}=\frac{15-10}{8-1} =\frac{5}{7}$

Explicación paso a paso: