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AIME 1985 Problem 1

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Let x1=97x_1=97, and for n>1n>1, let xn=nxn−1x_n=\frac{n}{x_{n-1}}. Calculate the product x1x2x3x4x5x6x7x8x_1x_2x_3x_4x_5x_6x_7x_8.

Dataset text AIME 1983 to 2026. Quoted with source.

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