# geometric progression

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Related to geometric progressions: Geometric sequence, harmonic progressions

## 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*.## 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

## 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.**## 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.

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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 |

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