A sequence of numbers is a string of values which all have a pattern from one number to the next. Sequences come in many forms and you need to know how to find patterns and also describe them.

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, etc.

In this sequence you add 2 to the previous number or multiply the position of the number by 2 (i.e. 1^st number = 1 × 2 and the 10^th number = 10 × 2).

• An Inductive Definision

This describes the pattern using the previous number in the sequence. You need a number to start you off.

• An Iteration

An iteration creates a sequence by using the position of the number. To find the first number you put 1 into the formula and to find the second number you put 2 into the formula.

There are several types of sequences:

• An arithmetic progression has an added fixed number
• A geometric progression have terms multiplied by a fixed number
• If a sequence gets closer to a number all the time it is convergent
• If a sequence gets further away from a number is is divergent