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1/2 + 1/4 + 1/8 + 1/16 + ...

mathematical infinite series
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1/2 + 1/4 + 1/8 + 1/16 + ...

Summary

1/2 + 1/4 + 1/8 + 1/16 + ... is an absolutely convergent series[1]. 1/2 + 1/4 + 1/8 + 1/16 + ... draws 132 Wikipedia views per month (absolutely_convergent_series category, ranking #1 of 2).[2]

Key Facts

  • 1/2 + 1/4 + 1/8 + 1/16 + ...'s instance of is recorded as absolutely convergent series[3].
  • 1/2 + 1/4 + 1/8 + 1/16 + ...'s instance of is recorded as geometric series[4].
  • 1/2 + 1/4 + 1/8 + 1/16 + ...'s Freebase ID is recorded as /m/02q0xly[5].
  • 1/2 + 1/4 + 1/8 + 1/16 + ...'s numeric value is recorded as {'amount': '+1'}[6].
  • 1/2 + 1/4 + 1/8 + 1/16 + ...'s defining formula is recorded as \sum_{n = 1}^\infty 1/2^n[7].
  • 1/2 + 1/4 + 1/8 + 1/16 + ...'s defining formula is recorded as 1/2 + 1/4 + 1/8 + 1/16 + \cdots[8].
  • 1/2 + 1/4 + 1/8 + 1/16 + ...'s maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • 1/2 + 1/4 + 1/8 + 1/16 + ...'s in defining formula is recorded as 1/2[10].
  • 1/2 + 1/4 + 1/8 + 1/16 + ...'s in defining formula is recorded as 1/4[11].
  • 1/2 + 1/4 + 1/8 + 1/16 + ...'s in defining formula is recorded as 1/8[12].
  • 1/2 + 1/4 + 1/8 + 1/16 + ...'s in defining formula is recorded as 1/16[13].

Why It Matters

1/2 + 1/4 + 1/8 + 1/16 + ... draws 132 Wikipedia views per month (absolutely_convergent_series category, ranking #1 of 2).[2] 1/2 + 1/4 + 1/8 + 1/16 + ... has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[14] 1/2 + 1/4 + 1/8 + 1/16 + ... is known by 3 alternative names across languages and contexts.[15]

References

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

Direct Wikidata claims

  1. [3] ↑ . wikidata.org.
  2. [4] ↑ . wikidata.org.
  3. [5] ↑ . Freebase Data Dumps. wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.
  9. [11] ↑ . wikidata.org.
  10. [12] ↑ . wikidata.org.
  11. [13] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [14] ↑ . Wikidata sitelinks. wikidata.org.
  3. [15] ↑ . 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). 1/2 + 1/4 + 1/8 + 1/16 + .... Retrieved May 3, 2026, from https://4ort.xyz/entity/1-2-1-4-1-8-1-16
MLA “1/2 + 1/4 + 1/8 + 1/16 + ....” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/1-2-1-4-1-8-1-16.
BibTeX @misc{4ortxyz_1-2-1-4-1-8-1-16_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{1/2 + 1/4 + 1/8 + 1/16 + ...}}, year = {2026}, url = {https://4ort.xyz/entity/1-2-1-4-1-8-1-16}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): 1/2 + 1/4 + 1/8 + 1/16 + ... — https://4ort.xyz/entity/1-2-1-4-1-8-1-16 (retrieved 2026-05-03)

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