SOLUTION: given the first term and the common difference of an arithmetic sequence, find explicit rule and the 37th term http://prntscr.com/sctyxf

Question 1158457: given the first term and the common difference of an arithmetic sequence, find explicit rule and the 37th term
http://prntscr.com/sctyxf
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.


You DO NOT NEED "find" explicit rule for the general term of an arithmetic progression:


   +------------------------------------------+
   |  You must know it, as you know 2x2 = 4.  |
   +------------------------------------------+


 =  + (n-1)*d.


In your case,   = -32 + (37-1)*20.


You do arithmetic.


Do the next exercise by the same way.

Solved, answered and explained. And completed.

------------------------------

For introductory lessons on arithmetic progressions see
    - Arithmetic progressions
    - The proofs of the formulas for arithmetic progressions
    - Problems on arithmetic progressions
    - Word problems on arithmetic 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 "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.

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