Recent content by Nafi Khandaker

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    Graduate Calculus by Spivak, Chapter 2, Problem 6, Part 3

    Thanks for replying. I asked someone else who has more math experience than me and he said something similar.
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    Graduate Calculus by Spivak, Chapter 2, Problem 6, Part 3

    In this problem, Spivak shows how to derive formulas to summations. They start by showing the method for 1^2 + 2^2 + ... + n^2 as follows: (k + 1)^3 - k^3 = 3k^2 + 3k + 1 Writing this formula for k = 1, 2, ..., n and adding, we obtain 2^3 - 1^3 = 3*1^2 + 3*1 + 1 3^3 - 2^3 = 3*2^2 + 3*2 + 1 ...