The sum of the squares of the first ten natural numbers is,
385 = 2640.
Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.
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.
Prelude> ((^2) $ sum [1..100]) - (sum $ map (^2) [1..100])
25164150
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