Consider the function

f$($n$)=$ n

$2$

if n is even

$3$n $+1$ if n is odd

Given an initial value for n $($an integer$),$ we set a$1=$ n and ai $=$ f$($ai$1).$ The stopping

value of n is the first i such that ai $=1.$ The escape value of n is the first i such that

ai $=100.$

For example, if n $=5$ then

a$1=5,$ a$2=16,$ a$3=8,$ a$4=4,$ a$5=2,$ a$6=1$

and so the stopping number is $6,$ and there is no escape value.

Write a function called outcome which takes as input integers n and max. If either n or max

are less than $1$ it should return $$Please pick strictly positive integers$.$ Otherwise it should

return either the stopping value of n or the escape value of n $($whichever happens first$)$ or

the message $$The process did not terminate within max steps$($where max is the number

entered as the second input value$).$

You should use the Mod function in VBA $($you may need to look this up online$)$ and a suitable

Do While loop. Declare all variable types and include appropriate comments in your code.