MathsNet: S - Sequences - Definitions

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33-D Geometry, 3D Shapes

AAlgebra, Algebra and Functions, Algorithms, Algorithms on graphs, Applications, Applications of the integrals, Area, Areas, Areas Related to Circles, Arithmetic, Arithmetic Progressions, Algebraic Expressions, Applying Congruence and Similarity, Approximate Solutions Using Graph

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S2nd Order Differential Equations, Sampling, Scales and ratios, Sequence and Series, Sequences, Sequences and series, Sets, Shape and space, Simple equations, Simulation, Simultaneous equations, Statics, Statistical models, Statistics, Summarising data, Surds, Surface Area and Volume, Surface Areas and Volumes, Symbolic Logic, Symbols, Systems of D.E.s, Systems of Rigid Bodies, Straight Line Graphs, Sketching Graphs of Functions, Solving Quadratics by Factorising, Simultaneous Linear Equations, Special Sequences

TTransformations, Travelling salesman problem, Triangles, Trigonometry

UUpper and lower bounds, Using a calculator

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WWork and Energy

MAPSelect Using the Interactive Map

Awarding Bodies

Page ID: 12496

S | Sequences | Non-linear sequences | «Definitions»

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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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	-