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AIME 2001b Problem 3

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Given that \begin{align*}x_{1}&=211,\ x_{2}&=375,\ x_{3}&=420,\ x_{4}&=523,\ \text{and}\ x_{n}&=x_{n-1}-x_{n-2}+x_{n-3}-x_{n-4}\ \text{when}\ n\geq5, \end{align*} find the value of x531+x753+x975x_{531}+x_{753}+x_{975}.

Dataset text AIME 1983 to 2026. Quoted with source.

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