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; }