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Complex Number and Positive Integer Poser (Posted on 2016-08-27) Difficulty: 3 of 5
Each of X and Y is a complex number such that
A(N) = (XN – YN)/(X-Y) is an integer for 4 consecutive positive integer values of N.

Is A(n) an integer for every positive integer value of N?
If so, prove it.
If not, provide a counter example.

No Solution Yet Submitted by K Sengupta    
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