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Last active March 7, 2016 00:17
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Sum of Squares and Squares of Sums
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squares_of_sums.md

Sum of Squares and Squares of Sums

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.

Make it so that it doesn't just work for the number 10.

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