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Why does this always result in 1?

+2 votes
Take any natural number. If even, divided by 2. If odd, multiply by 3 and add 1. No matter what number you choose, doing this repeatedly would eventually result to 1. Why does this happen?

A proof is most desirable :)
asked Jul 10, 2014 in Math by luongamanda Evoker (610 points)  
retagged Jul 10, 2014 by l-johnson

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