Module 1: Arithmetic sequences

Core Mathematics - Arithmetic sequences

Sequences and series

A sequence is a set of numbers in which each number after the first number
is formed in accordance with a definite rule. We will be looking at two
types of sequences - arithmetic and geometric.

Arithmetic sequences

An arithmetic sequence (or arithmetic progression) is a sequence in which
the difference between any two consecutive terms is the same.

NOTE: An arithmetic sequence/progression will at times be referred to in
abbreviated form as an A.P.

If a = first term

And d = the common difference

Then the sequence becomes {a, a+d, a+2d, a+3d......}

* Graphically an increasing sequence

* a decreasing sequence