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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"
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
Lexicographical Neighbors of Arithmetic Progression
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 ..."