From the given :
[tex]\frac{1}{3},\frac{2}{4},\frac{3}{5},\frac{4}{6},\frac{5}{7}[/tex]We can notice that the numerator is increasing by 1 from 1.
1, 2, 3, 4, 5, ...
So we can say that the numerator is n
The denominator starts from 3 and increases by 1 also,
and we can say that the denominator is n + 2, since the first term is 3, (1 + 2 = 3)
Putting it together, we have :
[tex]nthterm=\frac{n}{n+2}[/tex]The answer is n/(n+2)