Question
If $f_{n}=\left\{\begin{array}{cc}{\frac{f_{n-1}}{2}} & {\text { when } f_{n-1} \text { is an even number }} \\ {3 \cdot f_{n-1}+1} & {\text { when } f_{n-1} \text { is an odd number }}\end{array}\right.$ and $f_{1}=3,$ then $f_{5}=$(A) 1(B) 2(C) 4(D) 8(E) 16
Step 1
We use the given function to find $f_{2}$. Since $f_{1}$ is odd, we use the second part of the function, which gives us $f_{2}=3 \cdot f_{1}+1=3 \cdot 3+1=10$. Show more…
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