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IMSO 2008 — International Mathematics — Essay Question 13

IMSO Maths · IMSO 2008 — International Mathematics — Essay

Question 13

Consider the sequence $25,76,38,19,58,29,\ldots$. The terms are determined by the following rules:

- If a term is even, the next term is half of it.
- If a term is odd, the next term is 3 times it plus 1.

What is the 1000th term?