Difference between revisions of "2023 AMC 10A Problems/Problem 2"
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| + | Consider the following operation on an arbitrary positive integer: | ||
| + | If the number is even, divide it by two. | ||
| + | If the number is odd, triple it and add one. | ||
| + | |||
| + | Prove that repeatedly applying this function will always result in 1 | ||
Revision as of 16:57, 5 November 2023
Consider the following operation on an arbitrary positive integer:
If the number is even, divide it by two. If the number is odd, triple it and add one.
Prove that repeatedly applying this function will always result in 1
