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What is the difference between the sum of the squares and the square of the sums?

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What is the difference between the sum of the squares and the square of the sums? Empty What is the difference between the sum of the squares and the square of the sums?

Post  pallav Sat Mar 24, 2012 1:45 pm


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

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.


pallav

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