Question

What is the common ratio between successive terms in the sequence? 27, 9, 3, 1, one-third, one-ninth, StartFraction 1 over 27 EndFraction, ... –3 – 3

Answer 1

`(1)/(3)`

Explanation:

The given sequence is

`27, 9, 3, 1`

This sequences comprehend a geometric sequence, because it's obtained by dividing each element by 3, as follows

`(27)/(3)=9\\\\(9)/(3)=3\\ \\(3)/(3)=1`

Therefore, the reason is
`(1)/(3)`, which consists in dividing each term by 3, it's the same if we multiply each term by
`(1)/(3)`.

So, the right choice is the first option, one-third.

Answer 2

One third.

Explanation:

Common ratio = 9/27 = 1/3

3/9 = 1/3

1/3 = -/3.