CPM Homework Help : PC Problem 8-122

A sequence is defined recursively by $x_{n+1} =\frac { 1 } { x _ { n } + 1 }$ with $x_{1} = 1$ . Write the first five terms.

Hint:

$x_{1+1}=\frac{1}{x_1+1}\ \ x_2=\frac{1}{1+1}=\frac{1}{2}$