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. Sample Program Output GeometricSeries series (1,2,4); cout<<"Nth term is: "<<~series<

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

See similar textbooks

Related questions

Question

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.

Sample Program	Output
GeometricSeries series (1,2,4); cout<<"Nth term is: "<<~series<<endl; cout<<"Sum of series is: "<<!series<<endl; cout<<"The complete series is: "<<endl; series.display();	Nth term is: 8 Sum of series is: 15 The complete series is: 1+2+4+8