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Rajan@2021
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Find the sum of all multiples of 9 lying between 300 and 700.

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We have asked to find the sum of all the multiples of 9 lying between 300 and 700.

Sir please give me a detailed solution of this question as it is very important for examination

ML Aggarwal Avichal Publication Arithmetic Progression chapter 9 question no 20 iii

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1 Answer

  1. Multiples of 9 lying between 300 and 700=306,315,324,333,......,693
    Here, a=306,d=9 and l=693

    We know that, l=a+(n1)d
    693=306+(n1)×9
    (n1)×9=693306=387
    n1=9387=43
    n=43+1=44
    There are 44 terms.

    Find the sum of 44 terms:
    S44=2n[a+l]
    =244[306+693]
    =22×999=21978.

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