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?
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- Posts : 98
Join date : 2012-03-14
Location : Ahmedabad
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