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 = 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.



In [6]:

    
let square x = x * x

let sumSquares numbers =
    numbers
    |> List.map square
    |> List.sum

let squareSums numbers = 
    numbers 
    |> List.sum
    |> square
    
(squareSums [1..100]) - (sumSquares [1..100])









    Out[6]:





25164150



In [ ]: