Help writing a program in c++ that asks a user for a number (variable num) and then takes that number input to print out the nth term of a sequence? The sequence begins with 1 and then every number after is a prime factor of 3, 4, or 6. This needs to be done without using vectors or arrays.

.

.

For example:

Sequence is : 1, 3, 4, 6, 8, 9, 12, 16, 18, 20, ... (cont.)

User input (num) is : 0

Output : 1 (0th term)

.

.

Please add comments explaining the code for better understanding if possible, thank you!!