C++ 2중 for문 등차수열 합 출력

#include <stdio.h>
#include <iostream>

using namespace std;
int main() 
{
        int sum = 0;
        int total = 0;
        int k = 0;

        for (int j = 1; j <= 10; j++) {
            for (int i = 1; i <= j; i++) {

                sum = sum + i;

            }
            cout << 1 << "~" << j << "까지의 합 : " << sum << endl;
            total = total + sum;
            sum = 0;

        }

        cout << "total=" << total;
}