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Let A_1,A_2,A_3,….,A_m be the arithmetic means between -2 and 1027 and G_1,G_2,G_3,…., G_n be the gemetric means between 1 and 1024 .The product of gerometric means is 2^(45) and sum of arithmetic means is 1024 xx 171 The value of Sigma_(r=1)^(n) G_ris

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SOLUTION :`G_(1)G_(2)…G_(n)=(SQRT(1xx1024))^(n)=2^(5n)`
GIVEN, `2^(5n)=2^(45)rArrn=9`
Hence, `r=(1024)^(1/(9+1))=2`
`rArrG_(1)=2,r=2`
`rArrG_(1)+G_(2)+..+G_(9)=(2xx(2^(9)-1))/(2-1)=1024-2=1022`


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