---
tag: 0QED0GPYKY
kind: concept
name: Alternating series
msc: [40A05]
sources:
  - url: https://en.wikipedia.org/wiki/Alternating_series
    locator: lead section
same_as:
  wikidata: Q438842
  wikipedia: Alternating series
---

## Summary

An alternating series is a series whose terms alternate in sign. Such a series converges when the absolute values of its terms decrease to zero. The node [[alternating series|017BR1M98J]] gives the precise definition.