olymmath

AIME 1998 Problem 8

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Except for the first two terms, each term of the sequence 1000,x,1000−x,…1000, x, 1000 - x,\ldots is obtained by subtracting the preceding term from the one before that. The last term of the sequence is the first negative term encountered. What positive integer xx produces a sequence of maximum length?

Dataset text AIME 1983 to 2026. Quoted with source.

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618

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Locator aime/1998/p8 · Tag E784JMC4R3 · Edit this page on GitHub · Keys: j next, k previous