Problem 1

Due in DSC 203 by 3 PM, Friday January 12, 2001

For a positive integer m let S(m) denote the sum of all digits of m(in the decimal representation). Consider the sequence (a_n) defined recursively as follows:

$$a_1=2001^{2001},\qquad a_{n+1}=S(a_n).$$

What is a₅ ?

Solutions, questions and/or comments should be directed to Judy Downey or Griff Elder

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Last modified:   Sun Jan 7 16:18:49 CST 2001