Question

HELP PLEASE! Im struggling

Answer 1

c.
`(2)/(3)`

Explanation:

Let the common ratio be r.

`a_2 = (2)/(5)`

`a_3 = (2)/(5)r`

`a_4 = (2)/(5)r^2`

`a_5 = (2)/(5)r^3`

We are told that
`a_5 = (16)/(135)`.

`(2)/(5)r^3 = (16)/(135)`

`(5)/(2) * (2)/(5)r^3 = (5)/(2) * (16)/(135)`

`r^3 = (8)/(27)`

`r = \sqrt[3]{(8)/(27)}`

`r = (2)/(3)`

Answer: c.
`(2)/(3)`