SOLUTION: the sum of five terms of an arithmetic progression is 10 and the sum of their squares is 380. find the first term and the common difference. please I saw the answer to a similar qu

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Question 1134820: the sum of five terms of an arithmetic progression is 10 and the sum of their squares is 380. find the first term and the common difference. please I saw the answer to a similar question but it wasn't clear...
Answer by ikleyn(52818)   (Show Source):
You can put this solution on YOUR website!
.
Find the solution in the archive at this link

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

It was solved many times and long time ago at this forum . . . .

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There is a bunch of lessons on arithmetic progressions in this site:
    - Arithmetic progressions
    - The proofs of the formulas for arithmetic progressions
    - Problems on arithmetic progressions
    - Word problems on arithmetic progressions
    - One characteristic property of arithmetic progressions
    - Solved problems on arithmetic progressions
    - Math Olimpiad level problem on arithmetic progression
    - Mathematical induction and arithmetic progressions
    - Mathematical induction for sequences other than arithmetic or geometric

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Arithmetic progressions".

Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.