Difference between revisions of "1993 IMO Problems/Problem 5"

Revision as of 02:15, 5 July 2020

Problem

Let $\mathbb{N} = \{1,2,3, \ldots\}$ . Determine if there exists a strictly increasing function $f: \mathbb{N} \mapsto \mathbb{N}$ with the following properties:

(i) $f(1) = 2$ ;

(ii) $f(f(n)) = f(n) + n, (n \in \mathbb{N})$ .

Solution

Here is my Solution https://artofproblemsolving.com/community/q2h62193p16226748

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Difference between revisions of "1993 IMO Problems/Problem 5"

Revision as of 02:15, 5 July 2020

Problem

Solution

@@ Line 7: / Line 7: @@
 ==Solution==
+Here is my Solution https://artofproblemsolving.com/community/q2h62193p16226748
+Find as ≈ Ftheftics