# How do you determine whether the sequence #9/4, 2, 7/4, 3/2, 5/4,...# is arithmetic and if it is, what is the common difference?

##### 1 Answer

Feb 17, 2017

It is an arithmetic sequence

The common difference is

#### Explanation:

So that we can make a direct comparison make all the denominators the same giving:

Observe that in each case the next term is

As this difference is consistent then it is an arithmetic sequence.

The common difference is