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f (2019)=? if f (n + 1)> f (n), (f (n)) = 3n

Source: 2019 Swedish Mathematical Competition p5

May 1, 2021
algebrainequalitiesfunctionalFunctional inequalityfunctional equation

Problem Statement

Let ff be a function that is defined for all positive integers and whose values are positive integers. For ff it also holds that f(n+1)>f(n)f (n + 1)> f (n) and f(f(n))=3nf (f (n)) = 3n, for each positive integer nn. Calculate f(2019)f (2019).
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