# Question #41113

##### 2 Answers

#### Answer:

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

#### Answer:

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