MathDB
S 6

Source:

May 25, 2007
algebrapolynomialinductioncomplex numbersMiscellaneous Problemspen

Problem Statement

Suppose that xx and yy are complex numbers such that xn−ynx−y\frac{x^{n}-y^{n}}{x-y} are integers for some four consecutive positive integers nn. Prove that it is an integer for all positive integers nn.
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