Write a C++ program to compute the value of PI based upon the Gregory-Leibniz Series given the number in the series.

"One of the most well known and beautiful ways to calculate Pi () is to use the Gregory-Leibniz Series:

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Make sure your program conforms to the following requirements: 1. This program should be called computePI.cpp 2. Accept the sequence number from the user (as an integer). 3. Do not allow the program to continue until the sequence number selected by the user is positive (at least 1). 4. Compute and print the value of PI using the Gregory-Leibniz Series up to the sequence number entered by the user. 5. Add comments wherever necessary.

Sample Runs:

NOTE: not all possible runs are shown below.

Sample Runs:

Welcome to the compute PI program... What is the sequence number?-9 What is the sequence number? (must be an integer > 0)0 What is the sequence number? (must be an integer > 0)-6 What is the sequence number? (must be an integer > 0)30000 3.141559320256469190054890439078860708832508

Welcome to the compute PI program... What is the sequence number?65 3.156976358911272252617472022784284035878954

Welcome to the compute PI program... What is the sequence number?1000000 3.14159165358979318525417534502253147365991

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