Which one of the ten digits is the last to appear in the units position of a number in the Fibonacci sequence?

The last digit to appear in the units position of the Fibonacci sequence is 0. In the sequence, the digits cycle through 0, 1, 1, 2, 3, 5, 8, 3, 1, 4, 5, 9, 4, 3, 7, 0, but the digit 0 does not appear until the 15th term, which is F(15) = 610. All other digits from 1 to 9 appear before this point.