SOLUTION: if sn the sum of first n terms of an AP is given by Sn=3nsq-4n then find nth term

Question 955505: if sn the sum of first n terms of an AP is given by Sn=3nsq-4n then find nth term

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
, the sum of first terms of an AP (Arithmetic progression or Arithmetic sequence) , is given by
, where
is the first term, and
is the common difference.

The problem says that (or so I guess),
and that is true for all and any natural number values of .
So, we have to solve the equation
,
which is true for all and any natural number values of .
<--><--><-->
If that must be true for all and any natural number values of ,
then the coefficients of the terms in and must be the same, so
-->-->--> .
For any AP, the nth term is given by
, where
is the first term, and
is the common difference.
With , <-->
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