Solving $\u0422(n)=\frac{1}{\frac{1}{T(n-1)}+{n}^{2}}$ and $T(1)=1$

I did find $T(2)=\frac{1}{1+{n}^{2}}$, but I don't know how to proceed.

How do I go on from here? How can I find the solution? Thanks. :)

I did find $T(2)=\frac{1}{1+{n}^{2}}$, but I don't know how to proceed.

How do I go on from here? How can I find the solution? Thanks. :)