MathDB
Problems
Contests
National and Regional Contests
India Contests
Postal Coaching
2010 Postal Coaching
2010 Postal Coaching
Part of
Postal Coaching
Subcontests
(7)
7
1
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Existence of a Function
Does there exist a function
f
:
N
→
N
f : \mathbb{N} \rightarrow \mathbb{N}
f
:
N
→
N
such that for every
n
≥
2
n \ge 2
n
≥
2
,
f
(
f
(
n
−
1
)
)
=
f
(
n
+
1
)
−
f
(
n
)
?
f (f (n - 1)) = f (n + 1) - f (n)?
f
(
f
(
n
−
1
))
=
f
(
n
+
1
)
−
f
(
n
)?
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1
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3
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5
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2
6
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