# Question #41113

##### 2 Answers

This series can only be a geometric sequence if

#### Explanation:

The general form of a geometric sequence is the following:

or more formally

Since we have the sequence

Dividing by

Since we have

Furthermore we found

From this we conclude

To the nearest hundredth this gives

As Daan has said, if the sequence is to be geometric, we must have

#### Explanation:

In a geometric sequence, the terms have a common ratio.

So, if this sequence is to be geometric, we must have:

Solving this equation gets us