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, and 6, 1, −4, −9, −14.
Historical Examples
(b) Derive the formula for the sum of n terms of an arithmetic progression.
A Review of Algebra Romeyn Henry Rivenburg
noun
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
(ār’ĭth-mět’ĭk)
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.
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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, and 6, 1, −4, −9, −14. noun 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 […]
- Arithmetical
the method or process of computation with figures: the most elementary branch of mathematics. Also called higher arithmetic, theoretical arithmetic. the theory of numbers; the study of the divisibility of whole numbers, the remainders after division, etc. a book on this subject. Also, arithmetical. of or relating to arithmetic. Historical Examples Now here, with an […]
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the method or process of computation with figures: the most elementary branch of mathematics. Also called higher arithmetic, theoretical arithmetic. the theory of numbers; the study of the divisibility of whole numbers, the remainders after division, etc. a book on this subject. Also, arithmetical. of or relating to arithmetic. Historical Examples There is present, of […]
- Arithmetician
an expert in . Historical Examples The parties are to be to him merely A and B, and he has to work out the result as an arithmetician works out a sum. Social Rights and Duties, Volume I (of 2) Sir Leslie Stephen And that person is he who is good at calculation—the arithmetician? Lesser […]
- Arithmetize
verb to express in arithmetic form