A sequence of numbers is said to be arithmetic if the difference between any two successive terms is the same. For example the sequence 1,3,5,7,9,... is arithmetic because the difference between any two consecutive terms is 2. This difference is...

A series of numbers increasing by a constant increment called a common difference, e.g. 2, 4, 6, 8. MALTHUS asserted that the means of subsistence increases arithmetically. See also: geometric...

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 progression...

Anne Haworth describes a journey connecting number, algebra and shape. I always enjoy working with A-level students on sequences and series at the start of the course; it's a topic that builds on GCSE work, is reasonably easy to understand, gives the opportunity...

Abstract: In this article, a formula is given to obtain the next prime in an arithmetic progression. ********** Theorem: We consider the arithmetic progression a + di i [greater than or equal to] 0 of positive integers with GCD(a, d) =...