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6
6
Part of
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Problems
(1)
S 6
Source:
5/25/2007
Suppose that
x
x
x
and
y
y
y
are complex numbers such that
x
n
−
y
n
x
−
y
\frac{x^{n}-y^{n}}{x-y}
x
−
y
x
n
−
y
n
are integers for some four consecutive positive integers
n
n
n
. Prove that it is an integer for all positive integers
n
n
n
.
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