$k$ | $a_k$ | $p_k$ | $q_k$ | $C_k$ |

$-1$ | $0$ | 1 | ||

$0$ | $1$ | $0$ | ||

$k$ | $a_k$ | $a_k \cdot p_{k-1} + p_{k-2}$ | $a_k \cdot q_{k-1} + q_{k-2}$ | $\frac{p_k}{q_k}$ |

The table consists of $m+2$ rows. The value of the FCF is $\frac{p_m}{q_m}$.

To be continued.

See also:

- Continued fractions (1)

- Continued fractions (2)

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