Common difference of an (the) arithmetic progression

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• Arithmetic progression — In mathematics, an arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant. For instance, the sequence 3, 5, 7, 9, 11, 13... is an arithmetic… …   Wikipedia

• arithmetic progression — noun 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 …   Wiktionary

• arithmetic progression — n. a sequence of terms each of which, after the first, is derived by adding to the preceding one a common difference [5, 9, 13, 17, etc. form an arithmetic progression] …   English World dictionary

• common difference — n. the positive or negative constant added to each term in an arithmetic progression …   English World dictionary

• common difference — noun : the difference between two consecutive terms of an arithmetic progression * * * Math. the difference between any two consecutive terms in an arithmetic progression. [1890 95] …   Useful english dictionary

• common difference — noun Date: circa 1771 the difference between two consecutive terms of an arithmetic progression …   New Collegiate Dictionary

• common difference — Math. the difference between any two consecutive terms in an arithmetic progression. [1890 95] * * * …   Universalium

• Primes in arithmetic progression — In number theory, the phrase primes in arithmetic progression refers to at least three prime numbers that are consecutive terms in an arithmetic progression, for example the primes (3, 7, 11) (it does not matter that 5 is also prime). There are… …   Wikipedia

• Arithmetic — tables for children, Lausanne, 1835 Arithmetic or arithmetics (from the Greek word ἀριθμός, arithmos “number”) is the oldest and most elementary branch of mathematics, used b …   Wikipedia

• Geometric progression — In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed non zero number called the common ratio . For example, the… …   Wikipedia

• Dirichlet's theorem on arithmetic progressions — In number theory, Dirichlet s theorem, also called the Dirichlet prime number theorem, states that for any two positive coprime integers a and d, there are infinitely many primes of the form a + nd, where n ≥ 0. In other… …   Wikipedia