Question

What is the common ratio for the sequence 54, 18, 6, 2, …? 3 -3

Answer 1

r =
`(1)/(3)`

Explanation:

Calculate the ratio between consecutive terms, that is

`(18)/(54)` =
`(1)/(3)`

`(6)/(18)` =
`(1)/(3)`

`(2)/(6)` =
`(1)/(3)`

Thus the common ratio r =
`(1)/(3)`