---
tag: 01GBHQ5ABF
kind: concept
name: Periodic continued fraction
msc: [11A55]
sources:
  - url: https://en.wikipedia.org/wiki/Periodic_continued_fraction
    locator: lead section
same_as:
  wikidata: Q2365842
  wikipedia: Periodic continued fraction
---

## Summary

A periodic continued fraction is an infinite simple continued fraction whose terms repeat a fixed block from some point on.
The [[definition of a periodic continued fraction|0XKJPFS2W0]] gives the precise form.