This GRE Math practice problem tests your understanding of sequences and identifying patterns.
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 $2005^{\textrm{th}}$ term of the sequence?
- $\quad 29$
- $\quad 55$
- $\quad 85$
- $\quad 133$
- $\quad 250$
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