# geometric progression

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## 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 ?
We do not know whether the analogous statement is true for geometric sequences.
In [1] and [2] the formulae for the determinant, eigenvalues, Euclidean norm, spectral norm and inverse of the right circulant matrices with arithmetic and geometric sequences were derived.
They start with real numbers and their basic properties, then turn to equations and inequalities, graphing and solving systems of equations and inequalities, polynomials, factoring polynomials, proportions and rational expressions, writing equations of lines along with functions and variations, radicals and rational exponents, quadratic functions, inequalities, algebra of functions, exponential and logarithmic functions, conic sections and a set of miscellaneous topics such as geometric sequences.

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