olymmath

AIME 1998 Problem 5

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Given that Ak=k(k−1)2cos⁡k(k−1)π2,A_k = \frac {k(k - 1)}2\cos\frac {k(k - 1)\pi}2, find ∣A19+A20+⋯+A98∣.|A_{19} + A_{20} + \cdots + A_{98}|.

Dataset text AIME 1983 to 2026. Quoted with source.

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