olymmath

AIME 1988 Problem 4

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Suppose that ∣xi∣<1|x_i| < 1 for i=1,2,…,ni = 1, 2, \dots, n. Suppose further that ∣x1∣+∣x2∣+⋯+∣xn∣=19+∣x1+x2+⋯+xn∣.|x_1| + |x_2| + \dots + |x_n| = 19 + |x_1 + x_2 + \dots + x_n|. What is the smallest possible value of nn?

Dataset text AIME 1983 to 2026. Quoted with source.

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Locator aime/1988/p4 · Tag 81Y3BJR7ZG · Edit this page on GitHub · Keys: j next, k previous