This is LaTeX code:
[latex]
b_n = 8 + \frac{-9}{10 + \frac{-9}{ \frac{\vdots}{10 + \frac{-9}{10}}}} = -2 + 10 + \frac{-9}{10 + \frac{-9}{ \frac{\vdots}{10 + \frac{-9}{10}}}}
[/latex]