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National and Regional Contests
Saudi Arabia Contests
Saudi Arabia BMO TST
2014 Saudi Arabia BMO TST
5
Find all n
Find all n
Source: Saudi Arabia BMO TST Day I Problem 5
August 3, 2014
induction
inequalities
algebra unsolved
algebra
Problem Statement
Find all positive integers
n
n
n
such that
3
n
+
4
n
+
⋯
+
(
n
+
2
)
n
=
(
n
+
3
)
n
.
3^n+4^n+\cdots+(n+2)^n=(n+3)^n.
3
n
+
4
n
+
⋯
+
(
n
+
2
)
n
=
(
n
+
3
)
n
.
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