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Trigonometry
BasicSequence
Difficult
1990
Problem - 3177
Let sequence
{
a
n
}
satisfy
a
0
=
1
and
a
n
=
√
1
+
a
2
n
−
1
−
1
a
n
−
1
. Prove
a
n
>
π
2
n
+
2
.
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