Q2. A geometric series is defined by the following: a an+ aar3arn-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, r6.0, 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 = 6 n = 5 Geometric Series = 0.01 * 6^0 + 0.01 * 6^1 + 0.01 * 6^2 + 0.01 * 6"3 + 0.01 * 6-4 = 15.55 Done Bonus: Sample Run 2 (Text in red is user entered values) Enter values for a, r and n: 0.01 6 n Failure in input detected! Re-enter values for a, r and n: 0.01 6.0 5.0 You entered: Geometric Series = 0.01 * 6^0 + 0.01 * 6^1 + 0.01 * 6^2 + 0.01 * 6^3 + 0.01 * 6^4 15.55 Done Bonus: Sample Run 3 (Text in red is user entered values) Enter values for a, r and n: 0.01 e 5.0 Failure in input detected! Re-enter values for a, r and n: 0.01 6.0 t Failure in input detected! Re-enter values for a, r and n: r 6.0 5.0 Failure in input detected! Re-enter values for a, r and n: 0.01 6.0 5.0 You entered Geometric Series = 0.01 * 6^0 + 0.01 * 6^1 + 0.01 * 6^2 + 0.01 * 6^3 + 0.01 * 6^4 - 15.5!5 Done