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Italy Contests
ITAMO
1991 ITAMO
6
6
Part of
1991 ITAMO
Problems
(1)
sequence starting with x=1 and followed by (x+1) and / or x/(x+1)
Source: 1991 ITAMO p6
1/31/2020
We say that each positive number
x
x
x
has two sons:
x
+
1
x+1
x
+
1
and
x
x
+
1
\frac{x}{x+1}
x
+
1
x
ā
. Characterize all the descendants of number
1
1
1
.
Sequence
algebra