# Question #00f85

##### 1 Answer

Jan 12, 2018

If by exponential you mean they can be written in the form

#### Explanation:

Geometric sequences are categorised as such because their sequential terms differ by a common ratio.

eg.

This is exactly the same at the exponential relationship;

Another way of thinking about this is by observing the interchangeability of the recursive and explicit definitions of geometric progressions.

eg. for a geometric progression with a starting term

and the corresponding explicit definition is;

I hope this helps :)