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arithmetic progression
IPA: / ˌærɪθˌmetɪk prəˈɡreʃn̩ /Or arithmetic sequence; Sequence of numbers or terms that have a common difference between any one term and the next in the sequence. For example, 2, 7, 12, 17, 22, 27, ... is an arithmetic sequence with a common difference of 5.
The nth term in any arithmetic progression can be found using the formula
nth term = a + (n - 1)d<br />
where a is the first term and d is the common difference. An arithmetic series is the sum of the terms in an arithmetic sequence. The sum S of n terms is given by
S = n/2[2a + (n -1)d]
For example, to find the 7th term of a sequence in which the first term is 2 and the common difference is 3.
n = 7, a = 3, and d = 3
7th term = 3 + (7 - 1) × 3 = 21
An arithmetic series is the sum of the terms in an arithmetic sequence.
(Math) A progression in which a constant is added to each term in order to obtain the next term.