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If the sum of n terms of an A.P. is n P ...

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

A

1

B

Q

C

P

D

P-Q

Text Solution

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

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Knowledge Check

  • If S_(n) be the sum of n terms of an A.P and (s_(pn))/(s_(n)) is independent of n and first term is a then the common difference is

    A
    a
    B
    2a
    C
    3a
    D
    4a

  • The sum of n terms of an A.P is 3n^(2) +n . Then 8^(th) term of the A.P is

    A
    46
    B
    45
    C
    47
    D
    49

  • If the sum to 'n' terms of an A.P. is (4n^(2) -2n)/( 4) then the n^( th) term of the A.P. is

    A
    `(5n-1)/( 4)`
    B
    `( 8n-6)/( 4)`
    C
    `( 3n^2 - 2)/( 4)`
    D
    `(7n-8)/( 4)`

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