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Math Help - Square Inequality Proof

  1. #1
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    Square Inequality Proof

    Hey all, I would really appreciate some help with this proof.

    For all k in the Natural Numbers, k^2 + 1 > k



    Could we possibly use induction or contradiction for this proof? Thanks!
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  2. #2
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    Quote Originally Posted by jstarks44444 View Post
    Hey all, I would really appreciate some help with this proof.
    For all k in the Natural Numbers, k^2 + 1 > k
    You have that k\ge 1 so k^2\ge k.
    But we have shown that k^2+1>k^2.
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