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Contests
National and Regional Contests
Italy Contests
ITAMO
1986 ITAMO
2
2
Part of
1986 ITAMO
Problems
(1)
a_{n+1} =\frac{a_n}{1+a_n} , a_0 =\alpha > 0 , a_n wanted
Source: ITAMO 1986 p2
2/2/2020
Determine the general term of the sequence (
a
n
a_n
a
n
) given by
a
0
=
α
>
0
a_0 =\alpha > 0
a
0
=
α
>
0
and
a
n
+
1
=
a
n
1
+
a
n
a_{n+1} =\frac{a_n}{1+a_n}
a
n
+
1
=
1
+
a
n
a
n
.
recurrence relation
Sequence
algebra