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2017-IMOC
A7
A7
Part of
2017-IMOC
Problems
(1)
IMOC 2017 A7
Source:
3/26/2020
Determine all non negative integers
k
k
k
such that there is a function
f
:
N
→
N
f : \mathbb{N} \to \mathbb{N}
f
:
N
→
N
that satisfies
f
n
(
n
)
=
n
+
k
f^n(n) = n + k
f
n
(
n
)
=
n
+
k
for all
n
∈
N
n \in \mathbb{N}
n
∈
N
algebra
Iteration
function
functional equation