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If 7 times the 7th term …

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If 7 times the 7th term of an AP is equal to 11 times its 11th term , then find its 18th term

    • Posted by Last Bencher 6 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Rajneesh Kaurav 6 years, 10 months ago

    0

    1Thank You

    Gaurav Seth 6 years, 10 months ago

    let a = first term and d=common difference.

    According to question,

    7a7 = 11 a11

    =>7(a+6d) = 11(a+10d)

    => 7a-11a = 110d-42d

    => -4a = 68d

    =>a = -17d  ......(1)

    Now , a18 = a +17d 

    but a = -17 d  ..by (1)

    so put this value , we get,

    a18=-17d +17d =0 

    Hence proved.

    1Thank You

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