ARITHMETIC PROGRESSION

Introduction of Arithmetic Sequences

The difference between one term and the next is a constant.

Sequence is a set of things (usually numbers) that are in order.

In other words, add the same value each time … infinitely.

In General we could write an arithmetic sequence like this:

{a, a+d, a+2d, a+3d, ... }

where:

·         a is the first term, and

·         d is the difference between the terms (called the "common difference")

Rule

We can write an Arithmetic Sequence as a rule:

x_n = a + d(n-1)

(We use "n-1" because d is not used in the 1st term).