HF RL Explorer

Task 922

Task 922: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. If $f(x) = \frac{1 + x}{1 - 3x}, f 1(x) = f(f(x)), f 2(x) = f(f 1(x)),$ and in general $f n(x) = f(f {n-1}(x)),$ then $f {1993}(3)=$

The task

If $f(x) = \frac{1 + x}{1 - 3x}, f_1(x) = f(f(x)), f_2(x) = f(f_1(x)),$ and in general $f_n(x) = f(f_{n-1}(x)),$ then $f_{1993}(3)=$