**Sum square difference**

**Problem 6**

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.

This was simple.

Sum_Square_difference = function(x) { return(sum(1:x)^2 - sum((1:x) * (1:x))) } Sum_Square_difference(10) [1] 2640 Sum_Square_difference(100) [1] 25164150

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