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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 11times the 11th term,then find the 18th term?

    • Posted by Harshdeep Singh 7 years ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Gaurav Seth 7 years ago

    Let 1st term of AP be 'a',

    Let the common difference be 'd',

    So,as per question, 7 x 7th term = 11 x 11th term

    or, 7 [a+6d]  = 11 [a+10d]

    or, 7a+42d = 11a +110d

    or, 4a + 68d = 0

    or, a + 17d = 0 .......(1)

    Now, 18th term = a+17d

    or, t18 = 0  (from 1)

    3Thank You

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