CEMC Cayley, 2001

Number theory Difficulty 3.0 AMC 10/12 Find the answer Canada

The sequences $3, 20, 37, 54, 71, \ldots$ and $16, 27, 38, 49, 60, 71, \ldots$ each have $71$ as a common term. The next term that these sequences have in common is

(A) $115$ (B) $187$ (C) $258$ (D) $445$ (E) $1006$

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