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The sum of first, third and …

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The sum of first, third and seventeenth term of an ap is 216.find the first 13th term

    • Posted by Gudia Kumari 6 years, 11 months ago

    CBSE > Class 10 > Mathematics
    • 3 answers

    Nakul Sharma 6 years, 11 months ago

    936

    2Thank You

    Gaurav Seth 6 years, 11 months ago

    nth term of an A.P whose starting term is "a" and common difference is "d"
    is an = a+(n-1)d

    1st term = a   3rd term =a+2d  17th term = a+16d

    According to question 

    a+a+2d+a+16d=216

    3a+18d=216

    3(a+6d) = 216

    a+6d= 216/3

    a+6d= 72

    Sum of "n" terms in an AP = n(2a+(n-1)d)/2

    Sum of thirteen terms = 13(2a+12d)/2

                                       =13(a+6d) = 13*72 = 936

    2Thank You

    Puja Sahoo? 6 years, 11 months ago

    936

    1Thank You

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