Question

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

#a_22=-246, d=-10#
Find `a_28`

Answer 1

`a_28=-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, `a_(n+1)-a_n=-10`.

Here we're concerned with `a_22` and `a_28`, which are `6` terms apart. Thus, the difference must be `6(-10)`.

Then, `a_28=a_22+(-60)=-246-60=-306.`