SOLUTION: Give AP -7,-3,1,....,state three consecutive terms in this AP which sum up to 75

Question 828533: Give AP -7,-3,1,....,state three consecutive terms in this AP which sum up to 75
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
In arithmetic progressions, given 3 term, the middle one is the average,
In other words, 3 consecutive terms add up to 3 times the middle term.
So, is the middle term.
The common difference is ,
so the three terms are
,
. and
.

How do I know that the average of 3 terms is the middle term?
so ,
and .
Adding them up you have

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