Problem 6
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.
maxNumber = 100
sum = 0
sumOfSquares = 0
For i = 1 To maxNumber
sum = sum + i
sumOfSquares = sumOfSquares + i * i
EndFor
squareOfSums = sum * sum
difference = squareOfSums - sumOfSquares
TextWindow.WriteLine("Difference = " + difference)