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Created April 28, 2014 23:00
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difference_sum_squares.md

Difference of Sums of Squares

The sum of the squares of the first ten natural numbers is,

12 + 22 + ... + 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.

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