AMC 10 2000 Problem 6

The Fibonacci sequence 1,1,2,3,5,8,13,21, \ldots starts with two 1 s, and each term afterwards is the sum of its two predecessors. Which one of the ten digits is the last to appear in the units position of a number in the Fibonacci sequence?

Answer Choices
A. 0
B. 4
C. 6
D. 7
E. 9