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ILL 1985 Problem 60

    The sequence (sn)(s_n) , where sn=∑k=1nsin⁡ks_n= \sum_{k=1}^n \sin k for n=1,2,…n = 1, 2,\dots is bounded. Find an upper and lower bound.

    Dataset text AI-MO AoPS. Quoted with source.

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