Question

What is the 6th term in the geometric sequence described by this explicit formula?

Answer 1

option C

Explanation:

Answer 2

-5120 that is Option C is correct.

Explanation:

We have been given the explicit formula we need to find the 6th term of the geometric sequence from the given formula.

The formula is:
`a_n=-5\cdot (4)^(n-1)`

To find 6th term we will put n=6 in the formula given we will get:

`a_6=-5\cdot 4^(6-1)`

After simplification we get:

`a_6=-5\cdot 4^5`

After further simplification we will get:

`a_6=-5120`

Therefore, Option C is correct.