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alternating series

infinite series in which the signs of the general terms alternate between positive and negative
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alternating series

Summary

alternating series ranks in the top 2% of general entities by monthly Wikipedia readership (79 views/month).[1]

Key Facts

  • alternating series's subclass of is recorded as numerical series[2].
  • alternating series's Freebase ID is recorded as /m/02h4_d[3].
  • alternating series's defining formula is recorded as \sum_i(-1)^ia_n\qquad(\forall i\colon a_i\in\mathbb R^+)[4].
  • alternating series's MathWorld ID is recorded as AlternatingSeries[5].
  • alternating series's maintained by WikiProject is recorded as WikiProject Mathematics[6].
  • alternating series's Microsoft Academic ID is recorded as 195597517[7].
  • alternating series's Online PWN Encyclopedia ID is recorded as 3982928[8].
  • alternating series's OpenAlex ID is recorded as C195597517[9].
  • alternating series's Great Russian Encyclopedia portal ID is recorded as znakochereduiushchiisia-riad-ba5059[10].

Why It Matters

alternating series ranks in the top 2% of general entities by monthly Wikipedia readership (79 views/month).[1] It has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.[11] It is known by 7 alternative names across languages and contexts.[12]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . Freebase Data Dumps. wikidata.org.
  3. [4] ↑ . wikidata.org.
  4. [5] ↑ . wikidata.org.
  5. [6] ↑ . wikidata.org.
  6. [7] ↑ . wikidata.org.
  7. [8] ↑ . wikidata.org.
  8. [9] ↑ . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  9. [10] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [11] ↑ . Wikidata sitelinks. wikidata.org.
  3. [12] ↑ . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). alternating series. Retrieved April 10, 2026, from https://4ort.xyz/entity/alternating-series
MLA “alternating series.” 4ort.xyz Knowledge Graph, 4ort.xyz, 10 Apr. 2026, https://4ort.xyz/entity/alternating-series.
BibTeX @misc{4ortxyz_alternating-series_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{alternating series}}, year = {2026}, url = {https://4ort.xyz/entity/alternating-series}, note = {Accessed: 2026-04-10}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): alternating series — https://4ort.xyz/entity/alternating-series (retrieved 2026-04-10)

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