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Rajan@2021
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Find the sum of the following arithmetic series: 34 + 32 + 30 +……+10.

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A basic and conceptual question from arithmetic progression chapter in which we need to find the sum of given arithmetic series

34 + 32 + 30 +……+10.

RS Aggarwal, Class 10, chapter 5C, question no 2(ii)

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1 Answer

  1. a=34,
    d=32−34=−2
    an​=10
    or, a+(n−1)d=10
    or, 34+(n−1)(−2)=10
    or, −2(n−1)=−24
    or, n−1=12
    ⇒n=13
    ∴S13​=13/2​[2(34)+12(−2)]
    =13/2​×2[34−12]
    =13×22=286.

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