SOLUTION: The sum of five numbers in an Arithmetic Progression is 25 and the sum of their squares is 165. Find the common difference.

Question 1047950: The sum of five numbers in an Arithmetic Progression is 25 and the sum of their squares is 165. Find the common difference.
Found 2 solutions by robertb, ikleyn:
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
===>

===>
<===>
After expanding each term accordingly, you should get

===>
===> d = 2 or -2.
(If d = 2, the sequence is 1,3,5,7,9. If d = -2, the sequence is 9,7,5,3,1. These are two different sequences, both of which
satisfy the initial conditions.)
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.
Similar problem was solved in
https://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.979908.html

https://www.algebra.com/algebra/homework/Sequences-and-series/Sequences-and-series.faq.question.979908.html

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