ÖMO 1985 Problem 2

For $n \in \mathbb{N}$ , let $f(n)=1^n+2^{n-1}+3^{n-2}+...+n^1$ . Determine the minimum value of: $\frac{f(n+1)}{f(n)}.$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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