This was an easy one!
The sum of the squares of the first ten natural numbers is,
1
2 + 2 2 + ... + 10 2 = 385The square of the sum of the first ten natural numbers is,
(1 + 2 + ... + 10)
2 = 55 2 = 3025Hence 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.
$sumSquares = $squareSums = $difference = 0
for ($i=1;$i -le 100;$i++)
{
$sumSquares += [Math]::Pow($i,2)
$squareSums += $i
}
$difference = [math]::Pow($squareSums,2) - $sumSquares
$difference
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