Mathematically, the nth number of a mathematical series is defined as follows: Tn 2 i=1 Write a C++ program that: • Reads a positive integer k from the user. If the user enters a negative value, then the program should continue prompting until he/she enters a positive integer value. Then, the program should compute a mathematical series of first k terms starting from 1 to k, and display it as illustrated in the sample output. • Also, the program will count how many terms their ceil are EVEN, and how many are ODD (respectively); and display it as illustrated in the sample output. • Finally, the program will sum up the terms of the series and display the result as illustrated in the sample output. The program must use at least two functions as following: 1. A function to compute the nth number of a series using the above equation for a given number n, and returns it to the main program. Prototype: double Computation (int n); 2. A function to determine the case of the ceil value of computed term if it is EVEN or ODD. The function should return TRUE if the computed term is EVEN; otherwise it returns FALSE. Then the main program uses this result when needed for the report display. Prototype: bool isEven(int t);

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Class

Object Oriented Programming System (OOPs) is a programming model built on the perception of “objects” that contains data and methods. The major purpose of Object Oriented Programming is to increase the maintainability and flexibility of programs. Object Oriented Programming gets together data and its behavior (methods) in a single location (object) which makes it easier to understand.