. A geometric series is defined by the following: a + ar + ar² + ar³ + ??? + ar^n-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 = 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