2000 AMC 10 Problems/Problem 6

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The pattern of the units digits are

1,1,2,3,5,8,3,1,4,5,9,4,3,7,0,7,7,4,1,5,6

In order of appearance:

$1,2,3,5,8,4,9,7,0,6$.

6 is the last.

C.