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C++ Exercises: Find the sum of the series [ x - x^3 + x^5 + ......]

C++ Exercises: For Loop Exercise-25 with Solution

Write a program in C++ to find the sum of the series [ x - x^3 + x^5 + ......].

Sample Solution:-

C++ Code :

#include <iostream>
#include <math.h>
using namespace std;

int main()
{
    float x, sum, ctr;
    int i, n, m, mm, nn = 0;
    cout << "\n\n Display the sum of the series [ x - x^3 + x^5 + ......]\n";
    cout << "------------------------------------------------------------\n";
    cout << " Input the value of x: ";
    cin >> x;
    cout << " Input number of terms: ";
    cin >> n;
    sum = x;
    m = -1;
    cout << "The values of series:" << endl;
    cout << sum << endl;
    for (i = 1; i < n; i++) {
        ctr = (2 * i + 1);
        mm = pow(x, ctr);
        nn = mm * m;
        cout << nn << endl;
        sum = sum + nn;
        m = m * (-1);
    }
    cout << "\n The sum of the series upto " << n << " term is: " << sum << endl;
}

Sample Output:

 Display the sum of the series [ x - x^3 + x^5 + ......]               
------------------------------------------------------------           
 Input the value of x: 2                                               
 Input number of terms: 5                                              
The values of series:                                                  
2                                                                      
-8                                                                     
32                                                                     
-128                                                                   
512                                                                    
                                                                       
 The sum of the series upto 5 term is: 410   

Flowchart:

Flowchart: Find the sum of the series [ x - x^3 + x^5 + ......]

C++ Code Editor:

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Previous: Write a program in C++ to display the sum of the series [ 1+x+x^2/2!+x^3/3!+....].
Next: Write a program in C++ to find the sum of the series 1 +11 + 111 + 1111 + .. n terms.

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