# geometric progression

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## 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.

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Noun | 1. | 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

Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995

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