SQUARESUM.mkd

points: 5 level: Very Easy title: Squaring the Sums author: Abhay Rana nemo@sdslabs.co.in answer: 2e9f6ddc57c85380975a6ddbd7ec2eae0f351684

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 $3025-385 = 2640$

Find the difference between the sum of the squares of the first one hundred natural numbers and the square of their sum.