# Is the following sequence arithmetic? If so, identify the common difference. –73, –44, –15, 14, . . .

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yes, -31

yes, -29

no

yes, 29

yes, -31

yes, -29

no

yes, 29

##### 1 Answer

Apr 3, 2017

This is an arithmetic sequence with

#### Explanation:

If a sequence (or progression) is arithmetic, then the difference between any two terms is the same.

We ask: Is

In each case the difference is the same. This value is called the common difference:

This is therefore an arithmetic sequence.