Question

How do you determine whether the sequence `3, 12, 48, 192,...` is geometric and if it is, what is the common ratio?

Answer 1

It is a geometric sequence and common ratio is `4`.

Explanation:

In a geometric sequence ratio of each term to its immediately preceding term is always constant and is known as common ratio.

Here `192/48=48/12=12/3=4`

Hence it is a geometric sequence and common ratio is `4`.