SOLUTION: The sum of an arithmetic progression is given by Sn = 1/2 (5n^2 + n) i) Find the sum of the first 5 terms ii) Find the fifth term Thank you

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Question 1177528: The sum of an arithmetic progression is given by Sn = 1/2 (5n^2 + n)
i) Find the sum of the first 5 terms
ii) Find the fifth term
Thank you

Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!
.

(i)   The sum of the first 5 terms is  S%5B5%5D.

      To find it, substitute n= 5 into the given formula.


      Making so simple calculations is a ROUTINE job, which I leave to you.




(ii)  The 5-th term is equal  a%5B5%5D = S%5B5%5D - S%5B4%5D.


      You just found  S%5B5%5D in part (i).


      Now calculate  S%5B4%5D  in the same way and then take the difference.


You just have full instructions to complete the job on your own.

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On geometric progressions,  see introductory lessons
    - Geometric progressions
    - The proofs of the formulas for geometric progressions
    - Problems on geometric progressions
    - Word problems on geometric progressions
in this site.

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
"Geometric 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.


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