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National and Regional Contests
PEN Problems
PEN K Problems
3
3
Part of
PEN K Problems
Problems
(1)
K 3
Source:
5/25/2007
Find all functions
f
:
N
→
N
f: \mathbb{N}\to \mathbb{N}
f
:
N
→
N
such that for all
n
∈
N
n\in \mathbb{N}
n
∈
N
:
f
(
n
+
1
)
>
f
(
f
(
n
)
)
.
f(n+1) > f(f(n)).
f
(
n
+
1
)
>
f
(
f
(
n
))
.
function
induction
Functional Equations