Definitions for geometric progression
geo·met·ric pro·gres·sion

Princeton's WordNetRate this definition:0.0 / 0 votes

1. geometric progressionnoun

   (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"

WiktionaryRate this definition:0.0 / 0 votes

1. geometric progressionnoun

   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.

WikipediaRate this definition:0.0 / 0 votes

1. Geometric progression

   In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3. Similarly 10, 5, 2.5, 1.25, ... is a geometric sequence with common ratio 1/2. Examples of a geometric sequence are powers rk of a fixed non-zero number r, such as 2k and 3k. The general form of a geometric sequence is a , a r , a r 2 , a r 3 , a r 4 , … {\displaystyle a,\ ar,\ ar^{2},\ ar^{3},\ ar^{4},\ \ldots } where r ≠ 0 is the common ratio and a ≠ 0 is a scale factor, equal to the sequence's start value. The sum of a geometric progression terms is called a geometric series.

ChatGPTRate this definition:0.0 / 0 votes

1. geometric progression

   A geometric progression is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the 'common ratio'. This pattern of progression is often used in mathematics and sciences.

WikidataRate this definition:0.0 / 0 votes

1. Geometric progression

   In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3. Similarly 10, 5, 2.5, 1.25, ... is a geometric sequence with common ratio 1/2. The sum of the terms of a geometric progression, or of an initial segment of a geometric progression, is known as a geometric series. Thus, the general form of a geometric sequence is and that of a geometric series is where r ≠ 0 is the common ratio and a is a scale factor, equal to the sequence's start value.

Matched Categories

1. • Math
   • Progression

How to pronounce geometric progression?

1. Alex

   US English

   David

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   Mark

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   Daniel

   British

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   Australian

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How to say geometric progression in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of geometric progression in Chaldean Numerology is: 8

2. Pythagorean Numerology

   The numerical value of geometric progression in Pythagorean Numerology is: 7

References

1. ^ Princeton's WordNet
   http://wordnetweb.princeton.edu/perl/webwn?s=geometric progression
2. ^ Wiktionary
   https://en.wiktionary.org/wiki/Geometric_Progression
3. ^ Wikipedia
   https://en.wikipedia.org/wiki/Geometric_Progression
4. ^ ChatGPT
   https://chat.openai.com
5. ^ Wikidata
   https://www.wikidata.org/w/index.php?search=geometric progression