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2017-11-08 17:39:50 +01:00
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.