1993 IMO Problems/Problem 5

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

Find as ≈ Ftheftics

Video solution

https://youtu.be/IfCBp0608p8

1993 IMO (Problems) • Resources
Preceded by Problem 4	1 • 2 • 3 • 4 • 5 • 6	Followed by Problem 6
All IMO Problems and Solutions

Page

Toolbox

Search

1993 IMO Problems/Problem 5

Contents

Problem

Solution

Video solution

See Also