The sum of the squares of the first ten natural numbers is,
12 + 22 + … + 102 = 385
The square of the sum of the first ten natural numbers is,
(1 + 2 + … + 10)2 = 552 = 3025
Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 − 385 = 2640.
Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.
#include <iostream>
int main(void)
{
double sumOfSquare = 0;
double squareOfSum = 0;
for(int i = 0; i <= 100; i++)
{
squareOfSum += i;
sumOfSquare += (i*i);
}
squareOfSum *= squareOfSum;
std::cout << std::endl << std::fixed << "Square of the sum: " << squareOfSum;
std::cout << std::endl << std::fixed << "Sum of the squares: " << sumOfSquare;
std::cout << std::endl << std::fixed << "Their difference is: " << squareOfSum - sumOfSquare;
return 0;
}