Asked by Topperlearning User | 26th Sep, 2017, 09:10: AM

Expert Answer:

begin mathsize 12px style In space the space given space series comma
straight a space equals space square root of 3 space comma space straight r space equals space fraction numerator begin display style fraction numerator 1 over denominator square root of 3 end fraction end style over denominator square root of 3 space end root end fraction space equals space 1
We space know space that comma space straight S subscript infinity space end subscript equals space fraction numerator straight a over denominator 1 space minus space straight r end fraction
Required space sum space equals space fraction numerator square root of 3 over denominator 1 space minus space begin display style 1 third end style end fraction space equals space fraction numerator square root of 3 over denominator begin display style 2 over 3 end style end fraction space equals space fraction numerator 3 square root of 3 over denominator 2 end fraction
end style

Answered by  | 26th Sep, 2017, 11:10: AM