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

Question

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

Haidar Ali · Accepted Answer

Note that a sequence of the form&amp;nbsp;a1,a2,a3,a4,&amp;nbsp;.&amp;nbsp;.&amp;nbsp;.&amp;nbsp; 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=5Calculate the difference between the third and second term:2-(-3)=2+3=5Calculate the difference between the fourth and third term:7-2=5It follows that the difference between two consecutive terms is the same. Hence the sequence -8,-3,2,7, . . . is an arithmetic sequence.&amp;nbsp;The common difference is 5.

Determine if the given sequence is an arithmetic

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