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Rajan@2021
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If the pth term of an AP is q and its q term is p then show that its (p + q)th term is zero.

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Sir please give me a detailed solution of this question in which we have been asked to show that its (p + q)th term is zero, if the pth term of an AP is q and its q term is p.

RS Aggarwal, class 10, chapter 5A, question no 40.

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1 Answer

  1. By using nth term tn​=a+(n−1)d we have,

    q=a+(p−1)d …(1)

    p=a+(q−1)d   …(2)

    Solving (1) and (2), we get

    d=−1,a=p+q−1

    ∴Tp+q​=a+(p+q−1)d

    =(p+q−1)+(p+q−1)(−1)

    =p+q−1−p−q+1

    =0

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