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If k+1,3,4k+2 be any three consecutive …

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If k+1,3,4k+2 be any three consecutive terms of an AP find the value of k?

    • Posted by Shiva Karthik 4 years, 11 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Ajay Kumar 4 years, 11 months ago

    K=3/5 hoga

    0Thank You

    Yogita Ingle 4 years, 11 months ago

    1st term t1 = (k + 1).
    2nd term t2 = 3k.
    3rd term t3 = (4k + 2).
    Given that t1,t2,t3 are in AP.
    We know that when they are in AP, their common difference will be:
    t2 - t1 = t3 - t2
    3k - (k + 1) = (4k + 2) - 3k
    3k - k - 1 = 4k + 2 - 3k
    2k - 1 = k + 2
    2k = k + 2 + 1
    2k = k + 3
    2k - k = 3
    k = 3.
    Therefore the value of k = 3.

    3Thank You

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