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Given that .................

Answer»


SOLUTION :Find the ratio `t_(3//4)//t_(1//2)` USING the above equation
`t_(3//4)/t_(1//2)=((4)^(n-1)-1)/(2^(n-1)-1)=(2^(2(n-1))-1^(2))/(2^(n-1)-1)=((2^(n-1))^(2)-(1)^(2))/(2^(n-1)-1)`
`=((2^(n-1)-1)(2^(n-1)+1))/((2^(n-1)-1))=(2^(n-1) +1)`


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