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Meaning of "geometric series" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF GEOMETRIC SERIES

geometric series play
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GRAMMATICAL CATEGORY OF GEOMETRIC SERIES

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Geometric series is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES GEOMETRIC SERIES MEAN IN ENGLISH?

Geometric series

In mathematics, a geometric series is a series with a constant ratio between successive terms. For example, the series is geometric, because each successive term can be obtained by multiplying the previous term by 1/2. Geometric series are one of the simplest examples of infinite series with finite sums, although not all of them have this property. Historically, geometric series played an important role in the early development of calculus, and they continue to be central in the study of convergence of series. Geometric series are used throughout mathematics, and they have important applications in physics, engineering, biology, economics, computer science, queueing theory, and finance.

Definition of geometric series in the English dictionary

The definition of geometric series in the dictionary is a geometric progression written as a sum, as in 1 + 2 + 4 + 8.

WORDS THAT BEGIN LIKE GEOMETRIC SERIES

geomantic
geomechanics
geomedical
geomedicine
geometer
geometric
geometric distribution
geometric mean
geometric pace
geometric progression
geometrical
geometrically
geometrician
geometrid
geometrisation
geometrise
geometrist
geometrization
geometrize
geometry

WORDS THAT END LIKE GEOMETRIC SERIES

A series
accessories
arteries
bakeries
batteries
breweries
cemeteries
deliveries
discoveries
fisheries
galleries
groceries
lotteries
mysteries
nurseries
queries
series
surgeries
time series
wineries
World Series

Synonyms and antonyms of geometric series in the English dictionary of synonyms

SYNONYMS

Translation of «geometric series» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF GEOMETRIC SERIES

Find out the translation of geometric series to 25 languages with our English multilingual translator.
The translations of geometric series from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «geometric series» in English.

Translator English - Chinese

几何级数
1,325 millions of speakers

Translator English - Spanish

serie geométrica
570 millions of speakers

English

geometric series
510 millions of speakers

Translator English - Hindi

ज्यामितीय श्रृंखला
380 millions of speakers
ar

Translator English - Arabic

سلسلة هندسية
280 millions of speakers

Translator English - Russian

геометрическая прогрессия
278 millions of speakers

Translator English - Portuguese

série geométrica
270 millions of speakers

Translator English - Bengali

জ্যামিতিক সিরিজ
260 millions of speakers

Translator English - French

série géométrique
220 millions of speakers

Translator English - Malay

Siri geometri
190 millions of speakers

Translator English - German

geometrische Reihe
180 millions of speakers

Translator English - Japanese

等比級数
130 millions of speakers

Translator English - Korean

기하학적 시리즈
85 millions of speakers

Translator English - Javanese

Seri geometris
85 millions of speakers
vi

Translator English - Vietnamese

loạt hình học
80 millions of speakers

Translator English - Tamil

வடிவியல் தொடர்
75 millions of speakers

Translator English - Marathi

भूमितीय मालिका
75 millions of speakers

Translator English - Turkish

Geometrik seriler
70 millions of speakers

Translator English - Italian

serie geometrica
65 millions of speakers

Translator English - Polish

geometrycznej serii
50 millions of speakers

Translator English - Ukrainian

геометрична прогресія
40 millions of speakers

Translator English - Romanian

serie geometrică
30 millions of speakers
el

Translator English - Greek

γεωμετρική σειρά
15 millions of speakers
af

Translator English - Afrikaans

meetkundige reeks
14 millions of speakers
sv

Translator English - Swedish

geometrisk serie
10 millions of speakers
no

Translator English - Norwegian

geometriske rekker
5 millions of speakers

Trends of use of geometric series

TRENDS

TENDENCIES OF USE OF THE TERM «GEOMETRIC SERIES»

The term «geometric series» is regularly used and occupies the 89.854 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
58
/100
The map shown above gives the frequency of use of the term «geometric series» in the different countries.
Principal search tendencies and common uses of geometric series
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «geometric series».

FREQUENCY OF USE OF THE TERM «GEOMETRIC SERIES» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «geometric series» during the past 500 years. Its implementation is based on analysing how often the term «geometric series» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about geometric series

EXAMPLES

10 ENGLISH BOOKS RELATING TO «GEOMETRIC SERIES»

Discover the use of geometric series in the following bibliographical selection. Books relating to geometric series and brief extracts from same to provide context of its use in English literature.
1
Introduction to Matrices and Vectors
The Geometric Series We have observed repeatedly in earlier sections that the algebra of matrices has many similarities with ordinary algebra and that this fact can be used to carry over all sorts of principles and theorems from ordinary ...
Jacob T. Schwartz, 2011
2
College Algebra
Here is another way to arrive at the formula for the sum of an infinite geometric series: arS ar1aarar2...2 Saarar2ar3... Solve the equation S a rS for S to get S a 1r 11r2Sa SrSa As n gets larger and larger, we are adding more and more of the  ...
James Stewart, Lothar Redlin, Saleem Watson, 2012
3
Investing in Mortgage Securities
The Geometric Series Many of the simpler evaluation problems of fixed-income securities can be expressed in terms of compounding an initial amount with a fixed rate of interest or discounting a series of constant cash flows with a fixed rate of ...
Laurence G. Taff, 2002
4
Precalculus Functions and Graphs: A Graphing Approach
The sum of the terms of an infinite geometric sequence is called an infinite geometric series or simply a geometric series. The formula for the sum of a finite geometric sequence can, depending on the value of r, be extended to produce a  ...
Ron Larson, Robert P. Hostetler, Bruce H. Edwards, 2007
5
Mathematical Analysis for Modeling
Series. —. Theory. The matrix geometric series is useful for error estimation involving matrices in much the same way the numerical geometric series is for analyzing relative error, (recall Exercises 1.10.1.10 on page 19 and 1.10.4 on page 20).
Judah Rosenblatt, Stoughton Bell, 1998
6
To Infinity and Beyond: A Cultural History of the Infinite
With the exception of the geometric series, there does not exist in all of mathematics a single infinite series whose sum has been determined rigorously. — Niels Henrik Abel (1802-1829) If the harmonic series is the most celebrated of all ...
Eli Maor, 1991
7
The Mathematics Dictionary
-3>- 2- the sum of the geometric series 1 + 5 + (i)2 + • • • is 2. Any repeating decimal is a geometric series. E.g., 3.575757 • • • is the sum of the geometric series which is 3 + 57(^)7(1 - ^) = 118/33. See SUM — sum of an infinite series. geometric ...
R.C. James, 1992
8
The Rise and Development of the Theory of Series up to the ...
Geometric series played a crucial role in earlier research on series. In the 1590s, geometric series6 were mentioned in a work by Francois Viete, Variorum de rebus mathematicis responsorum, in which he tackled the problem of the quadrature ...
Giovanni Ferraro, 2007
9
Calculus
The geometric series is safe for x between -1 and 1. Outside that range it diverges. The next example shows a repeating decimal 1.111...: 1 1 ( 1 V / O3 Set x = — . The geometric series is 1 + — + I — J + I - □ The decimal 1.111... is also the ...
Gilbert Strang, 1991
10
Excel Fast Track: 50 HSC Exam Tips Maths (2 Unit)
Topic: Series Where it appears in exams: Typically Question 9 or 10 Degree of difficulty: ***** HSC examples: 1998 04(b) & (c), 1992 Q10(a), 1987 Q10(a) Apart from arithmetic and geometric series application questions (Tips 47 and 48 ...
Jeff Geha, 2000

10 NEWS ITEMS WHICH INCLUDE THE TERM «GEOMETRIC SERIES»

Find out what the national and international press are talking about and how the term geometric series is used in the context of the following news items.
1
An explanation of Litecoin's price spike
Like Bitcoin mining, Litecoin mining is set to unfold on a geometric series where half of the coins will be mined in roughly four years after its ... «Examiner.com, Jul 15»
2
Teacher's view: A generous Higher Maths paper.... and proof …
However, students who did not know their geometric series may have struggled - it appeared in three different contexts across the paper. «Irish Independent, Jun 15»
3
Guide to high school math skills, grades 9-12
... Derive the formula for the sum of a finite geometric series, and use the formula to solve problems. For example, 3, 12, 48, 192 is a finite series ... «New York Post, Apr 15»
4
Arlington Hi-Q team qualifies for nationals
The match ended up coming down to the final question, a mathematics question about geometric series. "We were three points ahead of ... «North County Outlook, Mar 15»
5
Top 10 Hong Kong Gallery Shows During Art Basel in Hong Kong
Ren Ri, "Yuansu Series I, Geometric Series I,"#03 United States of America (2007–2008). Image: Courtesy of the artist and Pearl Lam Galleries. «artnet News, Mar 15»
6
Garnish with a Sprig of Dorothy Parker: The Literary Meet Market
For those who either hate soup or excelled in high school math, feel free to conceive of the novel instead as the sum of a geometric series of ... «The Millions, Jan 15»
7
Researchers Observe Molecular Russian Nesting Dolls for the First …
"This is a new rule in chemistry that molecular sizes can follow a geometric series, like 1, 2, 4, 8...," said Cheng Chin, professor in physics at the ... «Azom.com, Jan 15»
8
Efimov States: Gigantic Molecules Fit Inside Each Other Like …
"This is a new rule in chemistry that molecular sizes can follow a geometric series, like 1, 2, 4, 8...," said Cheng Chin, professor in physics at ... «Science 2.0, Jan 15»
9
Exotic, gigantic molecules fit inside each other like Russian nesting …
"This is a new rule in chemistry that molecular sizes can follow a geometric series, like 1, 2, 4, 8…," said Cheng Chin, professor in physics. «Phys.Org, Jan 15»
10
Exotic molecules seen for the first time to fit into one another …
"This is a new rule in chemistry that molecular sizes can follow a geometric series, like 1, 2, 4, 8…," said Cheng Chin, professor in physics at ... «International Business Times UK, Jan 15»

REFERENCE
« EDUCALINGO. Geometric series [online]. Available <https://educalingo.com/en/dic-en/geometric-series>. Apr 2024 ».
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