sum of n numbers

Asked by anjalisinha5005 | 14th Oct, 2014, 04:30: PM

Expert Answer:

Considering the first n natural number as 1, 2, 3, 4,....n

Her first term = 1, common difference d = 2 - 1 = 1

Sum of n natural numbers is given by Sn.

Formula to find the sum of n natural nos. is given by

begin mathsize 14px style S n space equals space n over 2 left square bracket 2 a space plus space left parenthesis n minus 1 right parenthesis d right square bracket equals space n over 2 left square bracket 2 left parenthesis 1 right parenthesis space plus space left parenthesis n minus 1 right parenthesis left parenthesis 1 right parenthesis right square bracket space equals space n over 2 left square bracket 2 plus space n minus 1 right square bracket space equals space fraction numerator n left parenthesis n plus 1 right parenthesis over denominator 2 end fraction end style

Sum of n natural numbers is given by the general formula fraction numerator n left parenthesis n plus 1 right parenthesis over denominator 2 end fraction


Answered by Mili Hariyani | 15th Oct, 2014, 08:59: AM