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How many terms of the AP: …

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How many terms of the AP: 9,17,25,.... must be taken to give a sum of 636

    • Posted by Yash Sharma ?? 6 years, 9 months ago

    CBSE > Class 10 > Mathematics
    • 5 answers

    Yogita Ingle 6 years, 9 months ago

    First term of A.P. = 9 , common difference = 8
    if sum of n terms 636,  Sn = (n/2) [ 2×9 + (n-1)8 ] = 636
    Sn = n [ 10+ 8n] = 1272
    8n2 +10n -1272 = 0
    4n2 +5n -636 = 0
    By factorising LHS,
    (4n+53)(n-12) = 0
    hence n = 12

    1Thank You

    Sankalp Awasthi 6 years, 9 months ago

    12

    2Thank You

    Guddan_ ?? 6 years, 9 months ago

    12

    2Thank You

    Puja Sahoo? 6 years, 9 months ago

    12 terms should be taken

    2Thank You

    Honey ??? 6 years, 9 months ago

    12

    2Thank You

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