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Math Help - Square and Cube Induction Proof

  1. #1
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    Square and Cube Induction Proof

    Hey all, some help with the following proof would be appreciated:

    For all integers k >= 2, k^2 < k^3

    I believe induction can be used here. Thanks a bunch!
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  2. #2
    Member rtblue's Avatar
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    divide by k^2 on both sides.

    1<k.

    Since k>=2, this will always hold true.
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  3. #3
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    The actual proof, of course, would go the other way:
    Since k\ge 2, k> 1. Now multiply on both sides by the positive number k^2.
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