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Math Help - [SOLVED] Sum of squares of integers

  1. #1
    mat4ijo
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    [SOLVED] Sum of squares of integers

    Hi

    Can anyone give me some ideas as to why the following equation is useful in mathematics please?

    1^2 + 2^2 + 3^2 + ... + n^2 = (1/6)*n*(n+1)*(2n+1)

    I can only think of integration from first principles for x^2 (rectangles under graph)

    Any help much appreciated!
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  2. #2
    GAMMA Mathematics
    colby2152's Avatar
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    Well, it's a sum of a series, and it is a great example to show how the proof of induction works.
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