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Published on December 12th, 2010 In category Education | Maths

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# Natural numbers

What is sum of the first n natural numbersCan you also say the sum of the squares of first n natural numbers? best of all can you calculate the sum of the cubes of the first n natural numbers in a fraction of seconds

Can you also say the sum of the squares of first n natural numbers? best of all can you calculate the sum of the cubes of the first n natural numbers in a fraction of seconds. There questions where earlier asked in MBA and bank probationary examinations. So what is the easy way to solve these problems

Try out these formulas

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

Sum of squares of first n natural numbers n2 = n × (n + 1) × (2n + 1) / 6

Sum of cubes of first n natural numbers = n^3 = [n × (n + 1) / 2]^2

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