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# geometric progression

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noun Mathematics.

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.

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Also called geometric series.

## Origin of geometric progression

First recorded in 1550–60

## Words nearby geometric progression

geometric isomer, geometric isomerism, geometricize, geometric mean, geometric pace, geometric progression, geometric ratio, geometrics, geometric series, geometrid, geometrize

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2022

## How to use geometric progression in a sentence

## British Dictionary definitions for geometric progression

geometric progression

noun

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 & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Scientific definitions for geometric progression

geometric progression

A sequence of numbers in which each number is multiplied by the same factor to obtain the next number in the sequence. In a geometric progression, 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® Science Dictionary
Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

## Cultural definitions for geometric progression

geometric progression

In mathematics, a sequence of numbers in which each number is obtained from the previous one by multiplying by a constant. For example, the sequence 1, 2, 4, 8, 16, 32 ... (in which each number is multiplied by 2 to get the next one) is a geometric progression.

## notes for geometric progression

Many processes involving growth and spreading, such as population increases, can be described as geometric progressions.

The New Dictionary of Cultural Literacy, Third Edition
Copyright © 2005 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.