Canada Math Kangaroo Grade 7-8 in 2017

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Canada Math Kangaroo Grade 7-8 in 2017

1. A sequence of digits is obtained in the following way: The first two digits are 2 and 3 and each digit afterwards is the units’ digit of the product of the two preceding digits in the sequence. The first several digits in the sequence are 2, 3, 6, 8, 8, ..... What is the 2017th digit in the sequence?

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