geometric progression

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.

1550–60 Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
geometric progression
Compare arithmetic progression a sequence of numbers, each of which differs from the succeeding one by a constant ratio, as 1, 2, 4, 8, …

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American Heritage
Science Dictionary
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.
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Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
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American Heritage
Cultural Dictionary

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 &ellipsis; (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 American Heritage® 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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