# How do you tell whether the sequence #2, 4, 8, 16, 32# is arithmetic?

##### 1 Answer

Jul 4, 2017

#### Answer:

This is not an arithmetic sequence, it is a geometric sequence

#### Explanation:

Let's call the terms of the series

To see if the sequence is arithmetic, we calculate

If this is constant, we have an arithmetis sequence

This is not constant, so this is not an arithmetic sequence.

But, we can check to see if it's a geometric sequence

We calculate

So this is a geometric sequence of general term