Given a term in an arithmetic sequence and the common difference, find the term named in the problem?

a22=−246,d=−10
Find a28

1 Answer
mason m
May 30, 2018

a28=−306

Explanation:

This is an arithmetic sequence with the common difference d=−10, which mean that each successive term is 10 lower than the next. In other words, an+1−an=−10.

Here we're concerned with a22 and a28, which are 6 terms apart. Thus, the difference must be 6(−10).

Then, a28=a22+(−60)=−246−60=−306.

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