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IF the sum of p terms of an AP is q ...

IF the sum of p terms of an AP is q and the sum of q terms is p, then show that the sum of p+q terms is - (p+q) ,Also find the sum of first p-q terms (where , pgtq).

Text Solution

Verified by Experts

The correct Answer is:
`(p-q)/p(p+2q)`
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Knowledge Check

  • The sum of first p terms of an A.P. is q and the sum of the first q terms is p. The sum of the first (p + q) terms is

    A
    p + q
    B
    0
    C
    `- (p + q)`
    D
    `-2 (p + q)`

  • If the first term of an AP is a and the sum of the first p terms is zero, then the sum of its next q terms is

    A
    `(a(P+q)q)/(p-1)`
    B
    `(-a(P+q)q)/(p-1)`
    C
    `(a(P-q)q)/(p-1)`
    D
    None of the above

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