Friday, 9 June 2017

write squares of numbers

you can keep on writing squares of natural numbers from 1. Write 1 and to its right sq. of 1. Go to next line write next number i.e. 2 below first '1' written. Now add to 1 written in square column number written in natural number column. Add the latest number written in natural number column to the previous sum. Continue like this till you want.
algebra behind:
( a + 1) sq = a sq + 2a +1 = a sq + a + ( a + 1 )

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