SAT1000 - P500

Algebra Level pending

{an}\{a_n\} is a sequence such that a1=m (mN+)a_1=m\ (m \in \mathbb N^+), an+1={an2, an0(mod2)3an+1, an1(mod2)a_{n+1}=\begin{cases} \dfrac{a_n}{2} ,\ a_n \equiv 0 \pmod{2} \\ 3 a_n+1 ,\ a_n \equiv 1 \pmod{2} \end{cases} If a6=1a_6=1, find the sum of all possible value(s) for mm.


Have a look at my problem set: SAT 1000 problems

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