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(A) if the sum of first …

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(A) if the sum of first m terms of an A.P. is same as the sum of n terms,show that the sum of its first (m+n)terms is zero. (B) find the sum of first 24 multiples of 5.

    • Posted by Chanchal Tanwar 3 years, 7 months ago

    CBSE > Class 10 > Mathematics
    • 4 answers

    Mohammad Arshil 3 years, 7 months ago

    A)Given That Sm=Sn m/2{2a+(m-1)d}=n/2{2a+(n-1)d} m{2a+md-d}=n{2a+nd-d} 2ma+m^2d-md=2na+n^2d-nd 2ma-2na+m^2d-n^2d-md+nd=0 2a(m-n)+(m^2-n^2)d-(m-n)d=0 2a(m-n)+{(m+n)(m-n)}d-(m-n)d=0 Dividing By (m-n) in whole equation We get 2a+(m+n)d-d=0 2a+(m+n-1)d=0 Multiplying My m+n/2 In LHS And RHS m+n/2{2a+(m+n-1)d}=0×m+n/2 Thus Sm+n=0 Hence Proved

    1Thank You

    Chanchal Tanwar 3 years, 7 months ago

    Hello

    2Thank You

    Rishab Kandwal 3 years, 7 months ago

    (B) 1500

    2Thank You

    Navkaran Singh 3 years, 7 months ago

    Hi

    4Thank You

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