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Thursday, 19 June 2014

Quantitative Aptitude - Formulae - Algebra


Sum of first n natural numbers = n(n+1)/2


Sum of the squares of first n natural numbers = n(n+1)(2n+1)/6


Sum of the cubes of first n natural numbers = [n(n+1)/2]2


Sum of first n natural odd numbers = n2



Average = (Sum of items)/Number of items


(a + b)^1 = a + b

(a + b)^2 = a2 + 2ab + b2


(a + b)^3 = a3 + 3a2b + 3ab2 + b3


(a + b)^4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4 ...and so on... 


a2 - b2 = (a - b)(a + b)

Note : ^ denotes to the power of something here 


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