Problem 006

The sum of the squares of the first ten natural numbers is,
1^(2) + 2^(2) + … + 10^(2) = 385

The square of the sum of the first ten natural numbers is,
(1 + 2 + … + 10)^(2) = 55^(2) = 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.

Solution:
Function Prob006() As Long
Dim SumOfSquares As Long = 0
For k As Integer = 1 To 100
SumOfSquares += System.Math.Pow(k, 2)
Next
Dim Sum As Long = 0
For k As Integer = 1 To 100
Sum += k
Next
Dim SquareOfSum As Long = System.Math.Pow(Sum, 2)
Return SquareOfSum - SumOfSquares
End Function

Summary:

Share Your Thought