C++ Examples

WAP in C++ to Find Sum of the series[ x – x^3 + x^5 + ……]

The program in C++ to Find Sum of the series[ x – x^3 + x^5 + ……] is given below:

#include <iostream>
#include <cmath>
using namespace std;

int main() {
    double x;
    int n;
    double sum = 0;
    bool sign = true; // To keep track of the sign of the terms.

    cout << "Hello Codeauri Family, enter the value of x here:\n";
    cin >>x;
    cout << "and enter the number of terms in the series as well: \n";
    cin >>n;

    for (int i = 0; i < n; i++) {
        double term = pow(x, 2*i + 1);
        if (sign) {
            sum += term;
        } else {
            sum -= term;
        }
        sign = !sign;
    }
    cout << "Well, the sum of the series [x - x^3 + x^5 + ......] for " << n << " terms is: " << sum << endl;

    return 0;
}

Output:

Hello Codeauri Family, enter the value of x here:
3
and enter the number of terms in the series as well:
4
Well, the sum of the series [x – x^3 + x^5 + ……] for 4 terms is: -1968

Pro-Tips💡

This program prompts the user to enter a value for x and an integer value for n,

and then uses for loop to calculate the sum of the series [x – x^3 + x^5 + ……] for n terms.

The sum is then displayed at the end.

The program uses pow from <cmath> library and <iostream> for input and output.

It’s important to note that this series is the Taylor series of sin(x) at x = 0

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