Phrase guide

geometric series

noun · 2 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

Any infinite series whose terms are in geometric progression; any series of the form a+ar+ar2+ar3⋯=a∑i=0 ᪲ri, where a≠0, r≠0, and r≠1.

Definition source: English Wiktionary via Wiktextract

Topics: mathematical-analysis, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

noun

Meaning 2

a geometric progression written as a sum

Definition source: Princeton WordNet 3.0

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

Broader terms: series

History

Etymology

No etymology was provided for this word.

Across languages

Translations

21 source translations are retained for this English entry.

  • Asturian: serie xeométrica — infinite series of terms in geometric progression
  • Catalan: sèrie geomètrica — infinite series of terms in geometric progression
  • Chinese Mandarin: 等比级数 — infinite series of terms in geometric progression
  • Chinese Mandarin: 几何级数 (jǐhé jíshù) — infinite series of terms in geometric progression
  • Czech: geometrická řada — infinite series of terms in geometric progression
  • Finnish: geometrinen sarja — infinite series of terms in geometric progression
  • French: série géométrque — infinite series of terms in geometric progression
  • Galician: serie xeométrica — infinite series of terms in geometric progression
  • Hungarian: mértani sor — infinite series of terms in geometric progression
  • Icelandic: jafnhlutfallaröð — infinite series of terms in geometric progression
  • Icelandic: kvótaröð — infinite series of terms in geometric progression
  • Icelandic: rúmkynja röð — infinite series of terms in geometric progression
  • Italian: serie geometrica — infinite series of terms in geometric progression
  • Japanese: 等比級数 (tōhikyūsū) — infinite series of terms in geometric progression
  • Norwegian Bokmål: geometrisk følge — infinite series of terms in geometric progression
  • Norwegian Nynorsk: geometrisk følgje — infinite series of terms in geometric progression
  • Norwegian Nynorsk: geometrisk fylgje — infinite series of terms in geometric progression
  • Norwegian Nynorsk: geometrisk følge — infinite series of terms in geometric progression
  • Portuguese: série geométrica — infinite series of terms in geometric progression
  • Serbo-Croatian: geometrijski red — infinite series of terms in geometric progression
  • Spanish: serie geométrica — infinite series of terms in geometric progression