Chapter 6.1
Arithmetic sequences (complex)
Find common differences, nth term formulas, and sum terms for linear progressions.
Chapters10
Sequences from arithmetic to sigma notation.
Time invested10 hrs
Approximate guided learning.
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Chapter 6.2
Geometric sequences (complex)
Explore common ratios, exponential growth, and geometric series summation.
Chapter 6.3
Quadratic sequences (finding nth term)
Identify second differences and derive quadratic formulas for non-linear sequences.
Chapter 6.4
Fibonacci and special sequences
Analyze Fibonacci, Lucas, and other famous mathematical sequences with unique properties.
Chapter 6.5
Sequence patterns and proofs
Prove sequence properties and verify patterns using mathematical induction concepts.
Chapter 6.6
Sequences and functions
Connect sequences to functions and interpret domain/range in discrete contexts.
Chapter 6.7
Recursive sequences
Define sequences recursively, solve recurrence relations, and model iterative processes.
Chapter 6.8
Convergent and divergent sequences
Analyze limits, convergence to fixed values, and identify divergent behavior.
Chapter 6.9
Sigma notation (introduction)
Learn summation syntax, expand sigma notation, and compute series efficiently.
Chapter 6.10
Sequence problem-solving
Apply all sequence techniques to contextual, real-world problems and exam scenarios.
Next steps
Completed all sequences? Return to Section 5 for a refresher on equations, or explore other GCSE topics.