Determine if the given sequence is an arithmetic sequence. If it is, find the common difference, d.

−8,-3, 2, 7, ...

2022-05-16
Answered

Determine if the given sequence is an arithmetic sequence. If it is, find the common difference, d.

−8,-3, 2, 7, ...

You can still ask an expert for help

Haidar Ali

Answered 2022-07-21
Author has **4** answers

Note that a sequence of the form ${a}_{1},{a}_{2},{a}_{3},{a}_{4},...$ 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.

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