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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,...

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## 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

## This question appears in the following syllabi:

SyllabusModuleSectionTopicExam Year
AQA GCSE (9-1) Foundation (UK)A: SequencesA24: Common SequencesRecognising Sequences-
AQA GCSE (9-1) Higher (UK)A: SequencesA24: Further Sequences, Including SurdsNon-Linear Sequences-
CIE IGCSE (9-1) Maths (0626 UK)2 Algebra and GraphsB2.7 SequencesRecognising Sequences-
Edexcel GCSE (9-1) Foundation (UK)A: SequencesA24: Common SequencesRecognising Sequences-
Edexcel GCSE (9-1) Higher (UK)A: SequencesA24: Further Sequences, Including SurdsNon-Linear Sequences-
GCSE Foundation (UK)AlgebraSequencesNon-linear sequences-
GCSE Higher (UK)AlgebraSequencesNon-linear sequences-
OCR GCSE (9-1) Foundation (UK)6: Algebra6.06a: Generate Terms of a SequenceNon-Linear Sequences-
Universal (all site questions)SSequencesNon-linear sequences-