SOLUTION: The 12th term of an A.P is -41 given that the first term is 3 find the 20th term

Algebra ->  Sequences-and-series -> SOLUTION: The 12th term of an A.P is -41 given that the first term is 3 find the 20th term      Log On


   



Question 1165610: The 12th term of an A.P is -41 given that the first term is 3 find the 20th term
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

There are 12-1 = 11 equal gaps between -41 and 4, each of the size of  %284+-+%28-41%29%29%2F11 = 44%2F11 = 4.


So the common difference is -4 and the 20-th term is  3 - 4*(20-1).


I leave this simple calculation to you. 

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

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.