Write a java program that will read a positive integer from the user and will print out the $3N+1$ sequence

starting from that integer. The program should also count and print out the number of terms in the

sequence.

Given a positive integer, $N,$ define the $\text{'}3N+1\text{'}$ sequence starting from $N$ as follows: If $N$ is an even

number, then divide $N$ by two; but if $N$ is odd, then multiply $N$ by $3$ and add $1.$ Continue to generate

numbers in this way until $N$ becomes equal to $1.$

You must validate the starting number must be positive.

C:$\backslash$WINDOWS $\frac{\frac{?}{?}}{?}$ system$32\backslash$cmd$.$exe

$3,10,5,16,8,4,2,1$

There were $7$ terms in the sequence.Press any key to continue $...$

Hint:

For example, starting from $N=3,$ which is odd, we multiply by $3$ and add $1,$ giving $N=3^{**}3+1=10.$ Then,

since $N$ is even, we divide by $2,$ giving $N=\frac{10}{2}=5.$ We continue in this way, stopping when we reach $1,$

giving the complete sequence: $3,10,5,16,8,4,2,1.$

Ask user to input a positive number;

Let $N$ be the user's response;

while $N$ is not positive:

Print an error message;

Read another value for $N$;

Let counter $=0$;

while $N$ is not $1$:

if $N$ is even:

Compute $N=\frac{N}{2}$;

else

Compute $N=3**N+1$;

output $N$;

Add $1$ to counter;

output the counter;