arithmetic progression

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

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]