Prove Maasei hoshev

  1. I am taking a course in the history of modern math. Note, I am an engineering student minoring in math. Therefore, I am not that up to speed on induction proofs. I have been working on a problem in my book (A History of Mathematics by Victor Katz), and really don't know how to procede. Any help would be greatly appreciated.
    Problem:
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    Prove Proposition 32 of the Maasei hoshev (by Levi Ben Gerson):

    1+(1+2)+(1+2+3)+...+(1+2+...+n)

    ={1^2+3^2+...+n^2 n odd;
    {2^2+4^2+...+n^2 n even
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    Thank you for your assistance
     
  2. jcsd
  3. Nevermind. I dropped the course. Thanks for the help.
     
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