Sum of Squares

  • This topic has 2 replies, 3 voices, and was last updated 1 year ago by A.
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  • #27937
    Ashani Dasgupta
    Keymaster

    Find the sum of $$ 1^2 + … + k^2 $$

    #27939
    Gopinath Rajee
    Participant

    The way you find all the squares until some number k you have to square k and add k-1. The formula is: kˆ2+(k-1).

    #27961
    A
    Participant

    Induction on n=K+1 will yield the summation is $$ n^2(n+1)^2/4 $$

     

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