Section 5 - Sequences & Functions

Master sequences and functions for GCSE Mathematics with focus on arithmetic and geometric sequences, function notation, and applications across Papers 2 and 3.

Chapters12

Arithmetic sequences, geometric sequences, functions, applications.

Of Exam Marks10-15%

Moderate portion across Papers 2 and 3.

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Chapter 5.1

Sequences & Their Properties

Identify sequences and understand common differences and ratios.

40 minStart
Chapter 5.2

Arithmetic Sequences (nth Term Formula)

Derive and apply the nth term formula for arithmetic sequences.

40 minStart
Chapter 5.3

Arithmetic Series (Sum Formula)

Use sum formulas for arithmetic series with applications.

45 minStart
Chapter 5.4

Arithmetic Sequence Problem-Solving

Solve contextual arithmetic sequence problems from GCSE papers.

45 minStart
Chapter 5.5

Geometric Sequences (nth Term Formula)

Derive and apply the nth term formula for geometric sequences.

40 minStart
Chapter 5.6

Geometric Series (Sum Formula & Convergence)

Use sum formulas for geometric series with infinite series convergence.

45 minStart
Chapter 5.7

Geometric Sequence Problem-Solving

Solve contextual geometric sequence problems from GCSE papers.

45 minStart
Chapter 5.8

Function Notation & Manipulation

Master function notation and composition of functions.

40 minStart
Chapter 5.9

Inverse Functions

Find and apply inverse functions with notation and properties.

45 minStart
Chapter 5.10

Iterative Processes & Fixed Points

Apply recursive formulas and find fixed points of functions.

45 minStart
Chapter 5.11

Sequences & Functions Problem-Solving

Tackle complex multi-step problems combining sequence and function skills.

60 minStart
Chapter 5.12

Sequences & Functions Past Paper Practice

Comprehensive practice with real past paper questions and solutions.

75 minStart

Next steps

Review all five sections systematically, or explore advanced topics in Sections 6-10 for comprehensive Year 11 GCSE coverage.