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Math Help - Parity of an expression

  1. #1
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    Parity of an expression

    Show that the following expression/sequence is alternately even or odd!

    \lfloor(\sqrt2+1)^n\rfloor
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  2. #2
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    Hint: Show that (1+\sqrt2)^n + (1-\sqrt2)^n is an integer.
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