AMC 10 Step by Step
Log inSign up
Printable

2000 AMC 10 Problem 6

Include the solutionBack to the problem
2000 AMC 10 Problem 6AMC 10 Step by Step
Name:                             Date: September 13, 2026
Modular Arithmetic · difficulty 2 of 5 · about 3 min · position P1-10

The Fibonacci sequence 1,1,2,3,5,8,13,21,…1,1,2,3,5,8,13,21,\ldots starts with two 1s, 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?

  1. A)

    00

  2. B)

    44

  3. C)

    66

  4. D)

    77

  5. E)

    99

Working