AMC 10 Step by Step
Log inSign up
Printable

2005 AMC 10B Problem 11

Include the solutionBack to the problem
2005 AMC 10B Problem 11AMC 10 Step by Step
Name:                             Date: September 13, 2026
Sequences & Series · difficulty 3 of 5 · about 3 min · position P11-15

The first term of a sequence is 20052005 . Each succeeding term is the sum of the cubes of the digits of the previous term. What is the 2005th{2005}^{\text{th}} term of the sequence?

  1. A)

    2929

  2. B)

    5555

  3. C)

    8585

  4. D)

    133133

  5. E)

    250250

Working