Question

If a1=1. And r=1/5 find a8

Answer 1

a₈ =
`(1)/(78125)`

Explanation:

The nth term of a geometric sequence is

`a_(n)` = a₁
`(r)^(n-1)`

Here a₁ = 1 and r =
`(1)/(5)` , then

a₈ = 1 ×
`((1)/(5)) ^(7)` = 1 ×
`(1)/(78125)` =
`(1)/(78125)`