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If Sn denotes,the sum of the …

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If Sn denotes,the sum of the first n terms of an A.P.prove that S12=3(S8_S4)

    • Posted by Jobanpreet Dhillon 7 years ago

    Entrance Exam > JEE main > Mathematics
    • 1 answers

    Chandrashekhar Wankhede 6 years, 10 months ago

    Sn = (n/2)(2a+(n-1)d)

    S12= (12/2)(2a+(12-1)d)=12a+66d

    Similarly

    S8= (8/2)(2a+(8-1)d)= 8a+28d

    S4= (4/2)(2a+(4-1)d) = 4a+6d

    RHS = 3(S8-S4)= 3(8a+28d-4a-6d)

    RHS =3(4a+22d) = 12a + 66d = LHS

    Hence Proved

    0Thank You

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