Mathematics, 29.01.2022 06:40, babydolltia28

Except for the first two terms, each term of the sequence $1000, x, 1000 - x,\ldots$ 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 $x$ produces a sequence of maximum length

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Except for the first two terms, each term of the sequence $1000, x, 1000 - x,\ldots$ is obtained by...