Euler 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.

Powershell Solution:

1. $SumOfSq = 1..100|%{[Math]::pow($_,2)}|measure -sum|%{$_.sum} 
2. $SqOfSum = 1..100|measure -sum|%{[Math]::pow($_.sum,2)} 
3. echo ($SqOfSum - $SumOfSq) 

Note: The solution may not be the optimized one… just a quick hack… I’ll revisit later for optimization if time permits… :-)