Definitions for arithmetic progression
arith·metic pro·gres·sion

Princeton's WordNetRate this definition:0.0 / 0 votes

1. arithmetic progressionnoun

   (mathematics) a progression in which a constant is added to each term in order to obtain the next term

   "1-4-7-10-13- is the start of an arithmetic progression"

WiktionaryRate this definition:1.0 / 1 vote

1. arithmetic progressionnoun

   A sequence in which each term except the first is obtained from the previous by adding a constant value, known as the common difference of the arithmetic progression.

WikipediaRate this definition:0.0 / 0 votes

1. Arithmetic progression

   An arithmetic progression or arithmetic sequence (AP) is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence.The constant difference is called common difference of that arithmetic progression. For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with a common difference of 2. If the initial term of an arithmetic progression is a {\displaystyle a} and the common difference of successive members is d {\displaystyle d} , then the n {\displaystyle n} -th term of the sequence ( a n {\displaystyle a_{n}} ) is given by:

ChatGPTRate this definition:0.0 / 0 votes

1. arithmetic progression

   An arithmetic progression, also known as an arithmetic sequence, is a sequence of numbers in which the difference between any two successive numbers is always a constant. This difference is known as the common difference. The general form of an arithmetic progression is a, a + d, a + 2d, a + 3d,..., where 'a' is the first term and 'd' is the common difference.

WikidataRate this definition:0.0 / 0 votes

1. Arithmetic progression

   In mathematics, an arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15 … is an arithmetic progression with common difference of 2. If the initial term of an arithmetic progression is and the common difference of successive members is d, then the nth term of the sequence is given by: and in general A finite portion of an arithmetic progression is called a finite arithmetic progression and sometimes just called an arithmetic progression. The sum of a finite arithmetic progression is called an arithmetic series. The behavior of the arithmetic progression depends on the common difference d. If the common difference is: ⁕Positive, the members will grow towards positive infinity. ⁕Negative, the members will grow towards negative infinity.

Matched Categories

1. • Math
   • Progression

How to pronounce arithmetic progression?

1. Alex

   US English

   David

   US English

   Mark

   US English

   Daniel

   British

   Libby

   British

   Mia

   British

   Karen

   Australian

   Hayley

   Australian

   Natasha

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   Indian

   Priya

   Indian

   Neerja

   Indian

   Zira

   US English

   Oliver

   British

   Wendy

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   Fred

   US English

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   South African

How to say arithmetic progression in sign language?

Numerology

1. Chaldean Numerology

   The numerical value of arithmetic progression in Chaldean Numerology is: 4

2. Pythagorean Numerology

   The numerical value of arithmetic progression in Pythagorean Numerology is: 9

References

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