MathDB
Romania District Olympiad 2010

Source: Grade X

March 13, 2010
functioninductionalgebra proposedalgebra

Problem Statement

Find all the functions f:N→N f: \mathbb{N}\rightarrow \mathbb{N} such that 3f(f(f(n))) \plus{} 2f(f(n)) \plus{} f(n) \equal{} 6n,   \forall n\in \mathbb{N}.