Question

Write the nth term of the geometric sequence as a function of n.

Answer 1

a_{n}= 8(5)^{n-1} (third one)

Explanation:

The formula of a geometric sequence is
`a_(n)`=
`a_(1)`
`(r)^(n-1)`

Where
`a_(n)` is the nth term,
`a_(1)` is the first term and r is the common ratio and n is the term position.

`a_(1)` is given as 8 and is given as 5 because every term is multiplied by 5 as indicated by giving 5a.

Plug in the values:

a_{n}= 8(5)^{n-1}

Third one is the answer.