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geometric progression

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.
Also called geometric series.
Origin of geometric progression
First recorded in 1550-60 Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2018.
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Examples from the Web for geometric progression
Historical Examples
  • Once that point has been reached you can move in almost a geometric progression.

    Adaptation Dallas McCord Reynolds
  • Industrialization, education, can be a geometric progression.

    Border, Breed Nor Birth Dallas McCord Reynolds
  • It came to him that this sort of thing could work like a geometric progression.

    Freedom Dallas McCord Reynolds
  • It is a problem the complexity of which grows in geometric progression as time goes on.

    The Practical Values of Space Exploration Committee on Science and Astronautics
British Dictionary definitions for geometric progression

geometric progression

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
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geometric progression in Science
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 © 2002. Published by Houghton Mifflin. All rights reserved.
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geometric progression in Culture

geometric progression definition

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.

Note: 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 Company.
Published by Houghton Mifflin Company. All rights reserved.
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