Definition of Geometric progression

1. Noun. (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"

Category relationships: Math, Mathematics, Maths
Generic synonyms: Patterned Advance, Progression



Definition of Geometric progression

1. Noun. (analysis) A sequence in which each term except the first is obtained from the previous by multiplying it by a constant value, known as the common ratio of the geometric progression. ¹

¹ Source: wiktionary.com

Geometric Progression Pictures

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Lexicographical Neighbors of Geometric Progression

geomembranes
geometer
geometer moth
geometer moths
geometers
geomethane
geometral
geometric
geometric isomer
geometric isomerism
geometric isomers
geometric mean
geometric mean diameter
geometric means
geometric pace
geometric progression (current term)
geometric series
geometric topologist
geometric topologists
geometrical
geometrical distortion
geometrical irregularity
geometrical regularity
geometrical sense
geometrically
geometrician
geometricians
geometricity
geometrics
geometrid

Literary usage of Geometric progression

Below you will find example usage of this term as found in modern and/or classical literature:

1. College Algebra: With Applications by Ernest Julius Wilczynski (1916)
"Let a be the first term of the geometric progression and let r be the common ... Sum of a geometric progression of n terms. Let us denote by Sn the sum of a ..."

2. Elementary Algebra by John Henry Tanner (1904)
"geometric progression 195. ' Definitions and notation. A series in which the quotient of any term (after the first) divided by the next preceding term is ..."

3. A Treatise on the Elements of Algebra by Bewick Bridge (1839)
"Again, let a, or, ar3, be any three quantities in geometric progression, ... The differences of quantities in geometric progression are also in continued ..."

4. A Treatise on the Elements of Algebra by Bewick Bridge (1841)
"Again, let a, ar, ar2, be any three quantities in geometric progression, ... The differences of quantities in geometric progression are also in continued ..."

5. Essentials of Algebra: For Secondary Schools by Webster Wells (1897)
"geometric progression. 342. A geometric progression is a series of terms ... Thus, 2, 6, 18, 54, 162, •••is a geometric progression in which the ratio is 3. ..."

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