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,...
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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This question appears in the following syllabi:
Syllabus | Module | Section | Topic | Exam Year |
---|---|---|---|---|
AQA GCSE (9-1) Foundation (UK) | A: Sequences | A24: Common Sequences | Recognising Sequences | - |
AQA GCSE (9-1) Higher (UK) | A: Sequences | A24: Further Sequences, Including Surds | Non-Linear Sequences | - |
CIE IGCSE (9-1) Maths (0626 UK) | 2 Algebra and Graphs | B2.7 Sequences | Recognising Sequences | - |
Edexcel GCSE (9-1) Foundation (UK) | A: Sequences | A24: Common Sequences | Recognising Sequences | - |
Edexcel GCSE (9-1) Higher (UK) | A: Sequences | A24: Further Sequences, Including Surds | Non-Linear Sequences | - |
GCSE Foundation (UK) | Algebra | Sequences | Non-linear sequences | - |
GCSE Higher (UK) | Algebra | Sequences | Non-linear sequences | - |
OCR GCSE (9-1) Foundation (UK) | 6: Algebra | 6.06a: Generate Terms of a Sequence | Non-Linear Sequences | - |
Universal (all site questions) | S | Sequences | Non-linear sequences | - |