Home
Class 12
MATHS
If the sum of n terms of an A.P. is (pn+...

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

A

`2Q`

B

`P + Q`

C

2P

D

`P - Q`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SEQUENCE AND PROGRESSION

    ALLEN|Exercise Exercise O-6|1 Videos

  • SEQUENCE AND PROGRESSION

    ALLEN|Exercise Exercise O-7|1 Videos

  • SEQUENCE AND PROGRESSION

    ALLEN|Exercise Exercise O-4|1 Videos

  • RACE

    ALLEN|Exercise Race 21|14 Videos

  • TEST PAPER

    ALLEN|Exercise CHEMISTRY SECTION-II|3 Videos

Similar Questions

Explore conceptually related problems

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

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

Knowledge Check

  • If the sum of first n terms of an A.P is An + Bn^(2) , where A and B are constants, the common difference of A.P. will be

    A
    `A+ B`
    B
    `A- B`
    C
    2A
    D
    2B

  • If the sum of n terms of an A.P. is given by S_(n) = 5n^(2) - 3n , then the common difference of the A.P. is:

    A
    7
    B
    12
    C
    8
    D
    10

    • Similar Questions

    Explore conceptually related problems

    If the sum of n terms of an A.P. is n P +1/2n(n-1)Q , where P and Q are constants, find the common difference.

    The sum of n terms of an A.P. is (n^(2)+5n). Its common difference is :

    If the sums of the first 8 and 19 terms of an A.P. are 64 and 361 respectively, find (i) the common difference and (ii) the sum of n terms of the series.

    If the sum of n terms of an A.P is cn (n-1) where c ne 0 then find the sum of the squares of these terms.

    Then n^(t h) term of an A.P. is 6n+2. Find the common difference.

    If the sum of first n terms of an A.P. is 3n^2 + 2n , find its r^(th) term.

    Home
    Profile