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UKMT Senior Mathematical Challenge, 2023

Algebra Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

A sequence begins $2023, 2022, 1, \ldots$ . After the first two terms, each term is the positive difference between the previous two terms. What is the value of the 25th term?

(A) $2010$ (B) $2009$ (C) $2008$ (D) $2007$ (E) $2006$

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