Question

How do you find the common ratio for the following geometric sequence 4, 12, 36, 108... ?

Answer 1

`3`

Explanation:

The common ratio is simply the number that each number is being multiplied by to find the next term.

For example, when the sequence goes `4,12`, `4` is being multiplied by `3`.

When the sequence goes from `12` to `36`, `12` is being multiplied by `3`.

This is true for the entire sequence.

The term following `108` will be `108xx3=324`.

The term proceeding `4` will be `4/3` since `4/3xx3=4`.