geometric progression


Also found in: Thesaurus, Medical, Legal, Acronyms, Encyclopedia, Wikipedia.

geometric progression

n.
A sequence, such as the numbers 1, 3, 9, 27, 81, in which each term is multiplied by the same factor in order to obtain the following term. Also called geometric sequence.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

geometric progression

n
(Mathematics) a sequence of numbers, each of which differs from the succeeding one by a constant ratio, as 1, 2, 4, 8, …. Compare arithmetic progression
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

geomet′ric progres′sion



n.
a sequence of terms in which the ratio between any two successive terms is the same, as the progression 1, 3, 9, 27, 81 or 144, 12, 1, 1/12, 1/144. Also called geometric series.
Random House Kernerman Webster's College Dictionary, © 2010 K Dictionaries Ltd. Copyright 2005, 1997, 1991 by Random House, Inc. All rights reserved.

ge·o·met·ric progression

(jē′ə-mĕt′rĭk)
A sequence of numbers in which each number is multiplied by the same factor to obtain the next number in the sequence; a sequence in which the ratio of any two adjacent numbers is the same. An example is 5, 25, 125, 625, ... , where each number is multiplied by 5 to obtain the following number, and the ratio of any number to the next number is always 1 to 5. Compare arithmetic progression.
The American Heritage® Student Science Dictionary, Second Edition. Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.geometric progression - (mathematics) a progression in which each term is multiplied by a constant in order to obtain the next term; "1-4-16-64-256- is the start of a geometric progression"
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
patterned advance, progression - a series with a definite pattern of advance
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations

geometric progression

nprogressione f geometrica
Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995
References in periodicals archive ?
Starting from the cross section z = l/2 (namely, the location of the crack surface), 40 nodes are set nonhomogeneously in the first interval, which is l/8 long, according to geometric progression. For the second interval (z > 5l/8), the mesh size in the z-direction remains the same as that of z = 5l/8.
Many would say 6 (arithmetic progression or AP), but some would say 8 (geometric progression or GP).
Super lift technique is an advanced one which implements the output voltage increasing in geometric progression. It effectively enhances the voltage transfer gain.
Landreth describes a "geometric progression" of creature creation.
However, in our case, this a geometric progression with the denominator [x.sub.1].
Meanwhile, the ROP has welcomed the move to curb congestion in Muscat areas where shops dealing in used cars have mushroomed in geometric progression.
Using the formula for sum of a geometric progression, we have
This show collects and commissions graphite-focused sculptures and installations from 15 artists, including Carl Andre, whose "Graphite Cube Sum of Numbers" (above) arranges 164 machine-sawed units in a geometric progression.
"We look to connect with other veterans centers, job fairs, the Department of Labor--it's a geometric progression."
* After sub-carrier allocation, we propose a low complexity (LC) bit allocation algorithm for DS users based on geometric progression and we propose a linear water-filling (LWF) algorithm for DT users.
One may not entirely agree with Malthus when he reckoned that population increases in geometric progression whereas resources increase in arithmetical progression, but one thing is sure; that population outstripping resources could pose a serious challenge to the world.