alternating series

noun

An infinite series in the form of ∑ₙ₌₀ ᪲(-1)ⁿa_n or ∑ₙ₌₀ ᪲(-1)ⁿ⁺¹a_n, where a_n>0 for all n.

Meanings

nounalternating series (plural alternating series)
  1. mathematicsAn infinite series in the form of ∑ₙ₌₀ ᪲(-1)ⁿa_n or ∑ₙ₌₀ ᪲(-1)ⁿ⁺¹a_n, where a_n>0 for all n.

Translations

Catalan sèrie alternada
  • sèrie alternadaalternating series
French série alternée
  • série alternéealternating series
Italian serie alternata, serie a segni alterni
  • serie alternataalternating series
  • serie a segni alternialternating series
Portuguese série alternada
  • série alternadaalternating series
Spanish serie alternante
  • serie alternantealternating series
Cite this entry
APA

alternating series. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/alternating%20series

MLA

“alternating series.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/alternating%20series. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “alternating series,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/alternating%20series.

Source: alternating series on Wiktionary, CC BY-SA 4.0.