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A linear sequence (also known as arithmetic sequence) is a sequence of numbers that have a constant difference, for example 2, 5, 8, 11, ... have a constant difference of 3 are so make a linear sequence. The nth term of any linear sequence with be of the form nth term =an+b, a linear function.
Any sequence that does not have a constant difference is called a non-linear sequence, for example 1, 4, 9, 16... or 1, 3, 6, 10,... You can get a better display of the maths by downloading special TeX fonts from jsMath. In the meantime, we will do the best we can with the fonts you have, but it may not be pretty and some equations may not be rendered correctly.

## Glossary

### constant

a value in a formula or equation that cannot change.

### function

A rule that connects one value in one set with one and only one value in another set.

### linear

Straight, not curved. A linear equation is of the first degree, for example y = 2x+1.

### sequence

a number pattern in a definite order following a certain rule

### union

The union of two sets A and B is the set containing all the elements of A and B.

Full Glossary List