# Determine if the given sequence is an arithmetic

Determine if the given sequence is an arithmetic sequence. If it​ is, find the common​ difference, d.
−8​,-3, 2, 7, ...

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Haidar Ali

Note that a sequence of the form   is said to be an arithmetic sequence if the difference between every two consecutive terms of the sequence is the same.

The given sequence is:

-8,-3,2,7, . . .

Calculate the difference between the second and first term:

-3-(-8)=-3+8=5

Calculate the difference between the third and second term:

2-(-3)=2+3=5

Calculate the difference between the fourth and third term:

7-2=5

It follows that the difference between two consecutive terms is the same. Hence the sequence -8,-3,2,7, . . . is an arithmetic sequence.

The common difference is 5.