# 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.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 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 arrangementpatterned advance, progression - a series with a definite pattern of advance
Translations

## geometric progression

n
References in periodicals archive ?
Chapters discuss the pigeonhole principle, the greatest common divisor, squares, digital sums, arithmetic and geometric progressions, complementary sequences, quadratic functions and equations, parametric solutions for real equations, the scalar project, equilateral triangles in the complex plane, recurrence relations, sequences given by implicit relations, and matrices associated to second order recurrences.
In addition, the reduction of the computational labor's intensiveness is obtained by finding of the values of the normalization constants in the following calculation method in the form of a series convolution of geometric progressions.
Some of their works deal with simple geometric progressions, but the most interesting pieces are the two video installations.
Passmore discusses Polya's "worthwhile and interesting problems" while Berenson presents arithmetic and geometric progressions as seen in arrays of numbers.
Arithmetic and geometric progressions could not consistently produce the dramatic cost differences.

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