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Create a class Geometric Series to model a Geometric series. Using friend function, overload the ~' operator to find the nth term of the series. Likewise, overload the T' 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.

Create a class Geometric Series to model a Geometric series. Using friend function, overload the ~' operator to find the nth term of the series. Likewise, overload the T' 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.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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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: a, = arn-1, While the sum of a geometric series is given by: a(1 – r") 1- rn Create a class Geometric Series to model a Geometric series. Using friend function, overload the * operator to find the nth term of the series. Likewise, overload the P 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. Sample Program Output GeometricSeries series (1,2,4); Nth term is: 8 cout<<"Nth term is: "<<"series<<endl; Sum of series is: 15 cout<<"Sum of series is: The complete series "<<!series<<endl; cout<<"The complete series is: "<<endl; series.display(); is: 1+2+4+8
Transcribed Image Text: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: a, = arn-1, While the sum of a geometric series is given by: a(1 – r") 1- rn Create a class Geometric Series to model a Geometric series. Using friend function, overload the * operator to find the nth term of the series. Likewise, overload the P 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. Sample Program Output GeometricSeries series (1,2,4); Nth term is: 8 cout<<"Nth term is: "<<"series<<endl; Sum of series is: 15 cout<<"Sum of series is: The complete series "<<!series<<endl; cout<<"The complete series is: "<<endl; series.display(); is: 1+2+4+8
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