# What is the common ratio of the following geometric sequence 5, 15, 45,…?

Nov 7, 2015

The common ratio is $3$

#### Explanation:

We do not have to proove, that the sequence is geometric, so to calculate the ratio you just have to divide any term except the first, by the term preceeding it. For example:

$q = {a}_{3} / {a}_{2} = \frac{45}{15} = 3$