Question

Find an explicit formula for the geometric sequence -8,-40,-200,-1000

Answer 1

what the guy above me said

Explanation:

Answer 2

An explicit formula for the given geometric sequence,
`a_(n) =(-8)/(5) (5)^(n)`

Explanation:

The given geometric sequence:

- 8, - 40, - 200, - 1000

Here, first term(a) = - 8, common ration(r) =
`(-40)/(-8)` = 5

To find, an explicit formula for the given geometric sequence = ?

We know that,

The explicit formula for the geometric sequence

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

∴ An explicit formula for the given geometric sequence

`a_(n) =(-8)(5)^(n-1)`

`a_(n) =(-8)/(5) (5)^(n)`

∴ An explicit formula for the given geometric sequence,
`a_(n) =(-8)/(5) (5)^(n)`