geometric progression


Definition of geometric progression

: a sequence (such as 1, ¹/₂, ¹/₄) in which the ratio of a term to its predecessor is always the same

called also geometrical progression, geometric sequence

Examples of geometric progression in a Sentence

Recent Examples on the Web The breadth of its reach, the seeming geometric progression of events, along with the chaotic manner in which information is unfolding, makes it a little difficult to maintain a grasp on what’s going on. Amanda Petrusich, The New Yorker, "Music to Endure the Coronavirus Quarantine," 20 Mar. 2020 This kind of sequence is called a geometric progression. Quanta Magazine, "How a Strange Grid Reveals Hidden Connections Between Simple Numbers," 6 Feb. 2019 There is the more geometric stuff, which uses a lot of repetition (shapes and curves) and plays with optics using fairly precise geometric progressions. Duff Mcdonald, WIRED, "The Cosmic, Psychedelic, Glow-in-the-Dark Art of Alex Aliume," 20 Aug. 2019 In general, grids produced from geometric progressions have few distinct products, but many distinct sums, whereas grids produced from arithmetic progressions will have the opposite property: few distinct sums, but many distinct products. Quanta Magazine, "How a Strange Grid Reveals Hidden Connections Between Simple Numbers," 6 Feb. 2019 His geometric progression of shapes is forever logical, kept from sterility by a masterful use of water, light and air. R. Daniel Foster,, "New book details architect Paul McClean’s ultramodern homes," 28 June 2019 This contrasts with a geometric progression, in which the numbers are successively multiplied by the same amount and grow exponentially. Eugenia Cheng, WSJ, "Holidays Are for Counting," 5 Dec. 2018

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'geometric progression.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

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First Known Use of geometric progression

circa 1856, in the meaning defined above

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Time Traveler for geometric progression

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The first known use of geometric progression was circa 1856

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Cite this Entry

“Geometric progression.” Dictionary, Merriam-Webster, Accessed 11 Aug. 2020.

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