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2007 Moldova National Olympiad
9.4
rational terms
rational terms
Source:
May 20, 2010
Diophantine equation
Problem Statement
Find all rational terms of sequence defined by formula
a
n
=
9
n
−
2
n
+
1
,
n
∈
N
a_n=\sqrt{\frac{9n-2}{n+1}}, n \in N
a
n
=
n
+
1
9
n
−
2
,
n
∈
N
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