# 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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