Y by Adventure10, Mango247, and 1 other user
Suppose that
and
are complex numbers such that
are integers for some four consecutive positive integers
. Prove that it is an integer for all positive integers
.


![\[\frac{x^{n}-y^{n}}{x-y}\]](http://latex.artofproblemsolving.com/1/5/1/151455e7373afe6a6f20b415f1353882c5df1952.png)


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