Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • If the sum of n terms of an A.P. is (p n plus q n raised to 2), where p and q are constants, find the common difference

8.  If the sum of n terms of an A.P. is ( pn + qn ^ 2 ) , where p and q are constants,  find the common difference

Answers (1)

best_answer

If the sum of n terms of an A.P. is ( pn + qn ^ 2 ),

S_n =\frac{n}{2}[2a+(n-1)d]

\Rightarrow \, \, \frac{n}{2}[2a+(n-1)d]=pn+qn^2

\Rightarrow \, \, \frac{n}{2}[2a+nd-d]=pn+qn^2

\Rightarrow \, \, an+\frac{n^2}{2}d-\frac{nd}{2}=pn+qn^2

Comparing coefficients of n^2 on both side , we get

          \frac{d}{2}=q

     \Rightarrow \, \, d=2q

The common difference of AP is 2q.

Posted by

seema garhwal

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE extends single girl child scholarship registration deadline till November 20

Latest Question