Example: Sum of Series (Iterative, without pow) in C++

// Sum of Series (Iterative, without pow)
#include <iostream>
#include <iomanip> // For std::fixed and std::setprecision
using namespace std;

int main() {
    // Step 1: Declare variables for x, n, sum, and current term
    double x;
    int n;
    double sum = 0.0;
    double currentTerm = 1.0; // The first term is x^0 = 1

    // Step 2: Prompt user for input
    cout << "Enter the value of x: ";
    cin >> x;
    cout << "Enter the number of terms (n): ";
    cin >> n;

    // Step 3: Input validation
    if (n <= 0) {
        cout << "Number of terms (n) must be positive." << endl;
        return 1;
    }

    // Step 4: Iterate to calculate sum
    for (int i = 0; i < n; ++i) {
        sum += currentTerm; // Add the current term to the sum
        currentTerm *= x;   // Calculate the next term
    }

    // Step 5: Display the result
    cout << fixed << setprecision(6); // Set precision for output
    cout << "Sum of the series for x = " << x << " and n = " << n << " is: " << sum << endl;

    return 0;
}