Recursive sequences in first-year calculus

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This article provides ready-to-use supplementary material on recursive sequences for a second-semester calculus class. It equips first-year calculus students with a basic methodical procedure based on which they can conduct a rigorous convergence or divergence analysis of many simple recursive sequences on their own without the need to invoke inductive arguments as is typically required in calculus textbooks. The sequences that are accessible to this kind of analysis are predominantly (eventually) monotonic, but also certain recursive sequences that alternate around their limit point as they converge can be considered.

Original languageEnglish (US)
Pages (from-to)299-314
Number of pages16
JournalInternational Journal of Mathematical Education in Science and Technology
Issue number2
StatePublished - Feb 17 2016

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)
  • Education
  • Applied Mathematics


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