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2009 CIIM
Problem 1
CIIM 2009 Problem 1
CIIM 2009 Problem 1
Source:
June 9, 2016
CIIM 2009
Problem Statement
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.
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