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Number theory Difficulty 2.0 Junior Find the answer United Kingdom

Each number in the sequence starting 2, 3, 6, 8, 8, 4, ... is obtained in the following way. The first two numbers are 2 and 3 and afterwards each number is the last digit of the product of the two preceding numbers in the sequence. What is the 2017th number in the sequence?

(A) $8$ (B) $6$ (C) $4$ (D) $3$ (E) $2$

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