title: "IMO 1985 LL NOR60" description: "The sequence (sn), where sn = n" date: "2026-05-29T11:51:44+07:00" tags: ["imo", "longlist", "mathematics", "olympiad"] categories: ["mathematics"] year: 1985 type: "longlist" origin: "NOR" weight: 198500060 draft: false

IMO 1985 LL NOR60

Origin: NOR

Problem

The sequence (sn), where sn = n k=1 sin k, n = 1, 2, . . ., is bounded. Find an upper and lower bound.