A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. For example, the sequences 2, 6, 18, .... 3,15,75, . are a geometric sequences with common ratios 3 and 5 respectively. A geometric sequence is generally characterized by three numbers, the first term a, the common ratio r and the number of terms n. A geometric series is the sum of numbers in a geometric sequence. 2+6+18 and 3+15+75 are examples of geometric series with three terms each. The nth term of a geometric series with initial value a and common ratio r is given by: =1. While the sum of a geometric series is given by: (1)1 Create a class GeometricSeries to model a Geometric series. Using friend function, overload the ~ operator to find the nth term of the series. Likewise, overload the ! operator (using a friend function) to find the sum of a Geometric series. Provide a function display() in the class to display the geometric series. Sample output of the program should be like the following.

oop c++

Sample Program Geometric Series series (1,2,4); cout