write a C++ program that uses a loop to display each term and determine the sum of a geometric series. Your program should prompt the user to enter values for a, r, and n. Test your program for a = 0.01, r = 6.0, and n = 5.0. Make sure your program displays the value it has calculated.

Q2. A geometric series is defined by the following:aar+ar ar+arn-1 a is the first term. r is the "common ratio. n is the number of terms in the series Using this information, write a C++ program that uses a loop to display each term and determine the sum of a geometric series. Your program should prompt the user to enter values for a, r, and n. Test your program for a 0.01,r 6.0, and n-5.0. Make sure your program displays the value it has calculated. Bonus (Optional): Implement check for input failure. (See Sample Runs 2 and 3 below). Sample Run 1 (Text in red is user entered values) Enter values for a, r and n: 0.01 6.0 5.0 You entered: a=0.01 r=6n=5 Geometric Series 0.01 * 6A00.01 * 6A1 0.01 * 6 20.01 * 6A3 + 0.01 * 6A415.55 Done 61+0.0162+0.01 6