Chapter 1.4, Problem 30E

To determine

a.

To find:

The pattern obtained when the value of $n$ is $1$ at the beginning for the function $f$.

To determine

b.

To find:

The number of steps taken for the function $f$ to get to $1$, if the value of $n$ is $5$ at the beginning.

To determine

c.

To find:

The number of steps taken for the function $f$ to get to $1$, if the value of $n$ is $7$ at the beginning.

To determine

d.

To try:

Several other numbers of your own choosing for the value of $n$ at the beginning and check whether the process always take you back to $1$.