Question

Write an explicit formula for this geometric sequence: 1, 5, 25, 125, 625

Answer 1

`a_(n)` = 1
`(5)^(n-1)`

Explanation:

the explicit formula for a geometric sequence is

`a_(n)` = a₁
`(r)^(n-1)`

where a₁ is the first term and r the common ratio

here a₁ = 1 and r =
`(a_(2) )/(a_(1) )` =
`(5)/(1)` = 5 , then

`a_(n)` = 1
`(5)^(n-1)`