Alternating Series

Pronunciation: /ˈɔl.tərˌneɪ.tɪŋ ˈsɪər.iz/ Explain

An alternating series is a series that alternates between negative and positive terms.^[2] If a term in the series is positive, the next is negative. If a term in the series is negative, the next is positive. Stated mathematically:

An example of an alternating series is:

References

1. McAdams, David E.. All Math Words Dictionary, alternating series. 2nd Classroom edition 20150108-4799968. pg 13. Life is a Story Problem LLC. January 8, 2015. Buy the book
2. alternating series. merriam-webster.com. Encyclopedia Britannica. Merriam-Webster. Last Accessed 6/12/2018. http://www.merriam-webster.com/dictionary/alternating series. Buy the book
3. Osgood, William F.. Introduction to Infinite Series. Chap. 1 sec. 11 pg 11. archive.org. Last Accessed 6/12/2018. http://www.archive.org/stream/introductiontoi01osgogoog#page/n16/mode/1up/search/alternating. Buy the book

More Information

• Dawkins, Paul. Alternating Series Test. tutorial.math.lamar.edu. Lamar University. 6/19/2018. http://tutorial.math.lamar.edu/Classes/CalcII/AlternatingSeries.aspx.

Cite this article as:

McAdams, David E. Alternating Series. 1/17/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. https://www.allmathwords.org/en/a/alternatingseries.html.

Image Credits

• All images and manipulatives are by David McAdams unless otherwise stated. All images by David McAdams are Copyright © Life is a Story Problem LLC and are licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Revision History

1/17/2019: Expanded explanation to make it easier to understand. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
6/13/2018: Removed broken links, updated license, implemented new markup. (McAdams, David E.)
12/25/2009: Added "References". (McAdams, David E.)
11/25/2008: Changed equations to images. (McAdams, David E.)
11/20/2008: Initial version. (McAdams, David E.)