Definition of Arithmetic progression

1. Noun. (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"

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



Definition of Arithmetic progression

1. Noun. (analysis) 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. ¹

¹ Source: wiktionary.com

Arithmetic Progression Pictures

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Lexicographical Neighbors of Arithmetic Progression

aristulate
arithmancer
arithmancers
arithmancy
arithmatically
arithmetic
arithmetic function
arithmetic functions
arithmetic hierarchy
arithmetic logic unit
arithmetic logic units
arithmetic mean
arithmetic means
arithmetic operation
arithmetic operator
arithmetic progression (current term)
arithmetic series
arithmetic spiral
arithmetical
arithmetical hierarchy
arithmetical set
arithmetical sets
arithmetically
arithmetician
arithmeticians
arithmeticity
arithmetics
arithmomancy
arithmomania
arithmomanias

Literary usage of Arithmetic progression

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

1. College Algebra by James Harrington Boyd (1901)
"arithmetic progression 619. Definition.—An arithmetic progression is a series of numbers, which is so constituted that each number is equal to the preceding ..."

2. Algebra: An Elementary Text-book, for the Higher Classes of Secondary by George Chrystal (1904)
"An Arithmetic Series, or an arithmetic progression, as it is often called, is a series in which each term exceeds the preceding by a fixed quantity, ..."

3. Smithsonian Geographical Tables by Smithsonian Institution, Robert Simpson Woodward (1906)
"arithmetic progression. If a is the first term, and a + d, a + 2 d, a + 3 d, . . . are the successive terms, the nth or last term z is * = a + (n — 1) d. ..."

4. A Treatise on the Elements of Algebra by Bewick Bridge (1839)
"Let a, a+b, a+2b, be three quantities in arithmetic progression, ... Find four numbers in arithmetic progression, such, that their sum shall be 56, ..."

5. Elementary algebra by James Hamblin Smith (1882)
"If the sum of a series of 5 terms in arithmetic progression be 95, show that the middle term is 19. 13. There is an arithmetical progression whose first ..."

6. Algebra for Secondary Schools by Webster Wells (1906)
"PROGRESSIONS arithmetic progression 358. An arithmetic progression is a series of ... Thus, 1, 3, 5, 7, 9, 11, ••• is an arithmetic progression in which the ..."

7. Essentials of Algebra: For Secondary Schools by Webster Wells (1897)
"arithmetic progression. 333. An arithmetic progression is a series of terms each ... Thus, 1, 3, 5, 7, 9, 11, -••is an arithmetic progression in which the ..."

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