Let `T_r`denote the rth term of a G.P. for `r=1,2,3,`If for some posit – InterviewSolution

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1.	Let `T_r`denote the rth term of a G.P. for `r=1,2,3,`If for some positive integers `ma n dn ,`we have `T_m=1//n^2`and `T_n=1//m^2`, then find the value of `T_(m+n//2.)`
Answer» Correct Answer - 1/mn Given that `T_(m)=AR^(m-1)=1/n^(2)andT_(n)=AR^(n-1)=1/m^(2)` `rArrA^(2)R^(m+n-2)=1/(m^(2)n^(2))` `rArrAR^((m+n)/2-1)=1/(mn)` `rArrT_((m+n)/2)=1/(mn)`

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