Finding sums for an infinite class of alternating series

Zhibo Chen; Sheng Wei; Xuerong Xiao

doi:10.1080/0020739X.2011.622802

Finding sums for an infinite class of alternating series

Zhibo Chen, Sheng Wei, Xuerong Xiao

Penn State Greater Allegheny

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Calculus II students know that many alternating series are convergent by the Alternating Series Test. However, they know few alternating series (except geometric series and some trivial ones) for which they can find the sum. In this article, we present a method that enables the students to find sums for infinitely many alternating series in the following form.

Original language	English (US)
Pages (from-to)	694-702
Number of pages	9
Journal	International Journal of Mathematical Education in Science and Technology
Volume	43
Issue number	5
DOIs	https://doi.org/10.1080/0020739X.2011.622802
State	Published - Jul 2012

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)
Education
Applied Mathematics

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10.1080/0020739X.2011.622802

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abstract = "Calculus II students know that many alternating series are convergent by the Alternating Series Test. However, they know few alternating series (except geometric series and some trivial ones) for which they can find the sum. In this article, we present a method that enables the students to find sums for infinitely many alternating series in the following form.",

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AB - Calculus II students know that many alternating series are convergent by the Alternating Series Test. However, they know few alternating series (except geometric series and some trivial ones) for which they can find the sum. In this article, we present a method that enables the students to find sums for infinitely many alternating series in the following form.

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Finding sums for an infinite class of alternating series

Abstract

All Science Journal Classification (ASJC) codes

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