Home
Class 12
MATHS
If Sn=n P+(n(n-1))/2Q ,w h e r eSn denot...

If `S_n=n P+(n(n-1))/2Q ,w h e r eS_n` denotes the sum of the first `n` terms of an A.P., then find the common difference.

Text Solution

Verified by Experts

The correct Answer is:
Q

`S_(n)=nP+(n(n-1))/2Q`
`=n/2[2P+(n-1)Q]`
Compairing with
`S_(n)=n/2[2a+(n-1)d]`
d=Q
Promotional Banner

Topper's Solved these Questions

  • PROGRESSION AND SERIES

    CENGAGE|Exercise Exercise 5.4|13 Videos
  • PROGRESSION AND SERIES

    CENGAGE|Exercise Exercise 5.5|10 Videos
  • PROGRESSION AND SERIES

    CENGAGE|Exercise Exercise 5.2|10 Videos
  • PROBABILITY II

    CENGAGE|Exercise NUMARICAL VALUE TYPE|2 Videos
  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise JEE Advanced Previous Year|11 Videos

Similar Questions

Explore conceptually related problems

If S_(n)=nP+(n(n-1))/(2)Q, where S_(n) denotes the sum of the first n terms of an A.P.then find the common difference.

The sum of first n terms of an A.P. is 5n ^(2)+ 4n, its common difference is :

If in A.P, S_n=n^2+2n then find common difference d

The sum of first n terms of an AP is (3n^(2) + 6n) . The common difference of the AP is

The sum of the first n terms of an A.P.is 4n^(2)+2n. Find the nth term of this A.P.

If n^(th) term of A.P is 2n+3, then common difference is

If the n^(th) term of A.P. is (3+n)/(4) , then find the common different of A.P.