Arithmetically correct

Algebra Level 4

Let Tr{ T }_{ r } be the r th{ r }^{\text{ th} } term of an arithmetic progression. for r=1,2,3,r = 1,2,3, \ldots . If for some positive integers m,nm, n, we have Tm=1n{ T }_{ m }=\frac { 1 }{ n }, Tn=1m{ T }_{ n }=\frac { 1 }{ m }, then Tmn{ T }_{ mn } equals to?

Practice for Bitsat here.
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