If you solve this I will give you a big hug

  \( Solve\ for\ f(n)\ if\ n\in \mathbb N\)

 

 \(f(n)=\frac{n}{2} \)           \(If\ n\ is\ even\ then\)      \(f(n)\in \mathbb N\)

\(f(n)=3n+1 \)   \(If\ n\ is\ odd\ then\)       \(f(n) \in \{4,10,16,22\ …\}\)

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