olymmath

JMO 1992 Problem 3

    Prove the inequality ∑k=1n−1nn−k⋅12k−1<4 (n≥2)\sum_{k=1}^{n-1} \frac{n}{n-k}\cdot \frac{1}{2^{k-1}}<4\ (n\geq 2).

    Dataset text AoPS wiki problems. Quoted with source.

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