arpose: For this assignment, students will explore the advantages of creating functions and how the usage of function improve the readability of the program. ompt 1: (20 pts) Write a program to return the sum of the sequence shown below: 1! + 2^3 + 3! +. 4^3 + 5!...... n! (if odd) or n^3 (if even) Apply factorial to all odd numbers between 1 to n (inclusive) and apply cube to all even numbers between 1 to n (inclusive) before adding them all. Sample runs are shown below: Please intput a number: 0 Please intput a number: 1 1 Please intput a number: 2 Please intput a number: 7 5455 Please intput a number: 1 Terminating the program The program should run until user input one of the following: A negative number Input greater than 14 1