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Poland - Second Round
1960 Poland - Second Round
4
4
Part of
1960 Poland - Second Round
Problems
(1)
7 | 2^{n+2} + 3^{2n+1}
Source: Polish MO Second Round 1960 p4
8/31/2024
Prove that if
n
n
n
is a non-negative integer, then number
2
n
+
2
+
3
2
n
+
1
2^{n+2} + 3^{2n+1}
2
n
+
2
+
3
2
n
+
1
is divisible by
7
7
7
.
number theory
divides
divisible