The question is attached above.

Asked by sudhanshubhushanroy | 19th Nov, 2017, 09:09: PM

Expert Answer:

begin mathsize 16px style According space to space the space given space series space
begin inline style sum from straight r equals 1 to straight r equals straight n of end style space fraction numerator straight r over denominator open parentheses 2 straight r minus 1 close parentheses squared open parentheses 2 straight r plus 1 close parentheses squared end fraction
Further space we space have space to space use space partial space fraction space to space split space it space and space then space
using space formulaes space we space will space get space the space answer space fraction numerator straight n open parentheses straight n plus 1 close parentheses over denominator 2 open parentheses 2 straight n plus 1 close parentheses squared end fraction


NOTE colon
Rather space than space using space this space lengthy space method space you space can space use space short space cut space method.
Simply space putting space the space value space of space straight n equals 1 space or space 2 space in space the space option space left parenthesis straight b right parenthesis space you space will space get space the space
same space series space given space in space the space question. end style

Answered by Sneha shidid | 30th Nov, 2017, 10:33: AM