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

Expert Answer:

begin mathsize 12px style Given comma space straight a space plus space ar space plus space ar squared space plus space..... space equals space 15
fraction numerator straight a over denominator 1 space minus space straight r end fraction space equals space 15
rightwards double arrow space straight a space equals space 15 space open parentheses 1 space minus space straight r close parentheses space space........ left parenthesis straight i right parenthesis
straight a squared space plus space straight a squared straight r squared space plus space straight a squared straight r to the power of 4 space plus..... space equals space 45
fraction numerator straight a squared over denominator 1 space minus space straight r squared end fraction space equals space 45................. left parenthesis ii right parenthesis
From space left parenthesis straight i right parenthesis space and space left parenthesis ii right parenthesis
fraction numerator open square brackets 15 space open parentheses 1 space minus space straight r close parentheses close square brackets squared over denominator 1 space minus space straight r squared end fraction space equals space 45
fraction numerator 225 open parentheses 1 space minus space straight r close parentheses squared over denominator open parentheses 1 minus straight r close parentheses open parentheses 1 space plus space straight r close parentheses end fraction equals space 45
fraction numerator open parentheses 1 space minus space straight r close parentheses over denominator open parentheses 1 space plus space straight r close parentheses end fraction space equals space 1 fifth
5 space minus space 5 straight r space equals space 1 space plus space straight r
6 straight r space equals space 4
straight r space equals 2 over 3
From space left parenthesis straight i right parenthesis
straight a space equals space 15 space open parentheses 1 space minus space 2 over 3 close parentheses space
straight a space equals space 5
Required space straight G. straight P. space is
5 comma space 10 over 3 comma space 20 over 9 comma...........



end style

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