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.
long sumOfSquares = 0;
for (int i = 1; i <= 100; i++)
{
sumOfSquares += (long)Math.Pow(i, 2);
}
long sum = 0;
for (int i = 1; i <= 100; i++)
{
sum += i;
}
long squaresOfSum = (long)Math.Pow(sum,2);
Console.WriteLine("{0}-{1}={2}", squaresOfSum, sumOfSquares, squaresOfSum - sumOfSquares);