Finding sums for an infinite class of alternating series

Zhibo Chen, Sheng Wei, Xuerong Xiao

Research output: Contribution to journalArticle

1 Citation (Scopus)

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 languageEnglish (US)
Pages (from-to)694-702
Number of pages9
JournalInternational Journal of Mathematical Education in Science and Technology
Volume43
Issue number5
DOIs
StatePublished - Jul 1 2012

Fingerprint

Alternating series
Students
student
Geometric series
Trivial
Calculus
Class

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)
  • Education
  • Applied Mathematics

Cite this

Chen, Zhibo ; Wei, Sheng ; Xiao, Xuerong. / Finding sums for an infinite class of alternating series. In: International Journal of Mathematical Education in Science and Technology. 2012 ; Vol. 43, No. 5. pp. 694-702.
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Finding sums for an infinite class of alternating series. / Chen, Zhibo; Wei, Sheng; Xiao, Xuerong.

In: International Journal of Mathematical Education in Science and Technology, Vol. 43, No. 5, 01.07.2012, p. 694-702.

Research output: Contribution to journalArticle

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