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UKMT Junior Mathematical Challenge, 2019

Algebra Difficulty 2.0 Junior Find the answer United Kingdom

Jamal writes down a sequence of six integers. The rule he uses is, "after the first three terms, each term is the sum of the three previous terms." His sequence is —, —, —, $8$ , $13$ , $25$ . What is his first term?

(A) $0$ (B) $1$ (C) $2$ (D) $3$ (E) $4$

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