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Even and odd powers (Posted on 2005-02-09) Difficulty: 4 of 5
Let [z] mean the Greatest Integer less than or equal to z. Find a positive real number X, such that [X^n] is an even number whenever n is even, and [X^n] is an odd number whenever n is odd.

See The Solution Submitted by SteveH    
Rating: 4.2222 (9 votes)

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Some Thoughts Does this work? | Comment 1 of 22

X=n.

When n is even, n^n is even.  When n is odd, n^n is odd.

The only problem is that X, in this case, would not be a positive real number, it would be more than one positive real number, depending on what n is.


  Posted by Dustin on 2005-02-09 18:44:57
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