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Moldova Contests
Moldova National Olympiad
2007 Moldova National Olympiad
9.4
9.4
Part of
2007 Moldova National Olympiad
Problems
(1)
rational terms
Source:
5/20/2010
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
Diophantine equation