# Arithmetically correct

**Algebra**Level 3

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