 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2021/ii/paper-4/32a/c/i/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

For the stated map, the graph cycles give the period-two orbit

1/3 \mapsto 5/6 \mapsto 1/3,

and the period-four orbit

2/9 \mapsto 13/18 \mapsto 5/9 \mapsto 8/9 \mapsto 2/9.

 New to topics? Read the docs here!