Template:ConvergentTable-Start

Template
This template is invoked by ConvergentCalculator-Start

Usage
It is used to start a table for calculating the the convergents of the continued fraction of an irrational square root.

It is not designed to be invoked directly.

{| border="1" ! align="right" style = "padding: 2px 10px" | $k$ ! align="right" style = "padding: 2px 10px" | $a_k$ ! align="right" style = "padding: 2px 10px" | $p_k = a_k p_{k - 1} + p_{k - 2}$ ! align="right" style = "padding: 2px 10px" | $q_k = a_k q_{k - 1} + q_{k - 2}$ ! align="right" style = "padding: 2px 10px" | $\dfrac {p_k} {q_k}$ ! align="right" style = "padding: 2px 10px" | Decimal value ! align="right" style = "padding: 2px 10px" | $0$ ! align="right" style = "padding: 2px 10px" | $$ ! align="right" style = "padding: 2px 10px" | $$ ! align="right" style = "padding: 2px 10px" | $1$ ! align="right" style = "padding: 2px 10px" | $\dfrac { } 1$ ! align="right" style = "padding: 2px 10px" | $$ ! align="right" style = "padding: 2px 10px" | $1$ ! align="right" style = "padding: 2px 10px" | $$ ! align="right" style = "padding: 2px 10px" | $ \times + 1 = $ ! align="right" style = "padding: 2px 10px" | $$ ! align="right" style = "padding: 2px 10px" | $\dfrac { } {  }$ ! align="right" style = "padding: 2px 10px" | $$