Continued-fraction tail formula

If

p_{n} / q_{n} = [a_{0}, \dots, a_{n}]

, then appending a positive tail

x

gives

[a_{0}, \dots, a_{n}, x] = \frac{p _{n} x + p _{n - 1}}{q _{n} x + q _{n - 1}} .

 Ancestors (8)

 Incoming links (2)

Past exam of the mathematics course of the University of Cambridge / 2019 / ii / Paper 4 / 11I / a / Solution
Past exam of the mathematics course of the University of Cambridge / 2019 / ii / Paper 4 / 11I / d / Solution

 View article source

 Discussion (0)

There are no discussions about this article yet.

 Articles by others on the same topic (0)

There are currently no matching articles.

  See all articles in the same topic Create my own version