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2011•International Journal of Mathematical Education in Science and TechnologyRequires access

Finding sums for an infinite class of alternating series

Zhibo Chen, Sheng Wei, Xuerong Xiao

Open publisher page 3 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

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What this paper is about

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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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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

Key concepts: Alternating series, Series (stratigraphy), Geometric series, Convergent series, Mathematics, Class (philosophy), Calculus (dental), Algebra over a field

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