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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

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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
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Knowledge Check

  • Let S_(n) denote the sum of first n terms of an A.P. If S_(4) = -34 , S_(3) = - 60 and S_(6) =- 93 , then the common difference and the first term of the A.P. are respectively.

    A
    `-7, 2`
    B
    `7, -4`
    C
    `7, -2`
    D
    `-7, -2`

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