Problem:
The Fibonacci sequence starts with two 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.
B.
C.
D.
E.
Solution:
The sequence of units digits is
The digit is the last of the ten digits to appear.
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions