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If 7 times the 7th term …

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If 7 times the 7th term is equal to the 11 times the 11th term. prove that its 18th term is zero

    • Posted by Faizan Nabi 6 years, 11 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Faizan Nabi 6 years, 11 months ago

    Thanks garauv bhai.. whr frm u

    0Thank You

    Gaurav Seth 6 years, 11 months ago

    7th term = (a+6d)                       
    11th term = (a+10d)

    (a+6d)7=(A+10d)11                   (given)
    7a + 42d =11a +110d                (on solving)
    7a - 11a = 110d - 42d
    -4a = -68d
    a= -17d


    we know 18th term = (a+17d)........................... (i)
    now we substitute the value of a in (i) 
    which emplies,
                           -17d + 17d
                         = 0
    hence proved

    4Thank You

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