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2009 CIIM
Problem 1
Problem 1
Part of
2009 CIIM
Problems
(1)
CIIM 2009 Problem 1
Source:
6/9/2016
Prove that for any positive integer
n
n
n
the number
(
3
+
17
2
)
n
+
(
3
−
17
2
)
n
\left(\frac{3+\sqrt{17}}{2}\right)^n+\left(\frac{3-\sqrt{17}}{2}\right)^n
(
2
3
+
17
)
n
+
(
2
3
−
17
)
n
is an odd integer.
CIIM 2009