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2005 AMC 10B Question 11

AMC10 · 2005 AMC 10B

Question 11

The first term of a sequence is $2005.$ Each succeeding term is the sum of the cubes of the digits of the previous term. What is the $2005$th term of the sequence?
  1. $29$
  2. $55$
  3. $85$
  4. $133$
  5. $250$