# arithmetic progression

**arithmetic progression** Sequence of numbers in which each term is produced by adding a constant term (the common difference *d*) to the preceding one. It has the form a, a + d, a + 2d, and so on. An example is the sequence 1, 3, 5, …. The sum of such a progression, *a* + (*a* + *d*) + (*a* + 2*d*) + … is an arithmetic series. For *n* terms, it has a value s*n* [2*a* + 0.5(*n* − 1) *d*].

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# arithmetic progression

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