Printer Friendly
Dictionary, Encyclopedia and Thesaurus - The Free Dictionary
3,903,353,675 visitors served.
forum Join the Word of the Day Mailing List For webmasters
?
Dictionary/
thesaurus
Medical
dictionary
Legal
dictionary
Financial
dictionary
Acronyms
 
Idioms
Encyclopedia
Wikipedia
encyclopedia
?

arithmetic progression
(redirected from Arithmetic progressions)

   Also found in: Financial, Encyclopedia, Wikipedia 0.01 sec.
arithmetic progression
n.
A sequence, such as the positive odd integers 1, 3, 5, 7, . . . , in which each term after the first is formed by adding a constant to the preceding term.

arithmetic progression
n
(Mathematics) a sequence of numbers or quantities, each term of which differs from the succeeding term by a constant amount, such as 3,6,9,12 Compare geometric progression

arithmetic progression  (rth-mtk)
A sequence of numbers such as 1, 3, 5, 7, 9 ..., in which each term after the first is formed by adding a constant (in this case, 2) to the preceding number. Compare geometric progression.

arithmetic progression - A sequence in which each term is obtained by the addition of a constant number to the preceding term, as 1, 4, 7, 10, 13.
See also related terms for sequence.
ThesaurusLegend:  Synonyms Related Words Antonyms
Noun1.arithmetic progression - (mathematics) a progression in which a constant is added to each term in order to obtain the next termarithmetic progression - (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"
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
patterned advance, progression - a series with a definite pattern of advance


Want to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit the webmaster's page for free fun content.
?Page tools
Printer friendly
Cite / link
Feedback
Add definition
Mentioned in?  References in periodicals archive?   Dictionary browser?   Full browser?
 
You could see if your students could discover that the number of fish for any value of C is C(C+1)/2, a well-known formula from arithmetic progressions which your students will meet later on in their mathematics courses, and is the formula for triangular numbers.
Just in case you thought that magic squares were just amusing diversions and had no relevance to any other areas of mathematics, this very problem (construction of a 3 by 3 magic square all of whose entries are squares) has been shown to be highly relevant to problems in various domains, including arithmetic progressions, Pythagorean triangles, and elliptic curves.
Among the topics examined are the distribution of primes (long arithmetic progressions of primes and small gaps between primes), class groups of binary quadratic forms, various aspects of the theory of L-functions, the theory of modular forms, and the study of rational and integral solutions to polynomial equations in several variables.
 
 
 
Dictionary, Thesaurus, and Translations
?

Terms of Use | Privacy policy | Feedback | Advertise with Us | Copyright © 2012 Farlex, Inc.
Disclaimer
All content on this website, including dictionary, thesaurus, literature, geography, and other reference data is for informational purposes only. This information should not be considered complete, up to date, and is not intended to be used in place of a visit, consultation, or advice of a legal, medical, or any other professional.