c++ program

Problem A) (20 Points) A recursive function to compute the value of a series. Write a recursive function to compute the value of the following series for a given n: f (n) - 1 1/4 + 1/9 1/16+ + 1' for n- 1 Write the base cases and recurrence relationship for the function in the comments that describe your function. For example, the base case for factorial is and the recurrence relation is n! - n * (n-1) if n> 1 You should embed the function in a program that calls the recursive function to compute the value of the series for different values input by the user. Your program should obtain the input n from the user via the console. If n is greater than zero, your program should then print out the value of the series to the console; otherwise it should print out an error message. Your progranm should also contain a continuation loop that prompts the user to determine if they would like to continue One sample run of your program should be similar to the following example Enter the number n: 1 The value of the series for n- l is: 1.00 Would you like to continue? (Enter 'Y or 'N'): N Write, test, and correct your program. Have all the functions, including main, in a single file with the function definitions after main. When you are done, name the source code file -7A. cpp (where you replace with your U of M email address) and submit it using the Homework 7 Problem A link on the class Moodle page. Remember to follow the naming convention diligently or your program will not be graded. Also remember to download You should then check it to make sure it is the file you wanted to submit! your program to the machine you submitted it from after you submit it via Moodle