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Sequences
Sequences require students to identify term-to-term structure, derive nth-term rules, compare linear and quadratic patterns, and justify rules from numerical evidence.
6
Objectives
30
Flashcards
30
Questions
90 min
Study time
AQAGCSEMathematicsAlgebra
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Syllabus checklist
What you need to know
6 objective pages available
Generating sequence terms1 objectives
- [Foundation and Higher] Generate terms of a sequence from a term-to-term rule or a position-to-term rule.
Recognising sequences3 objectives
- [Foundation and Higher] Recognise and use triangular, square and cube numbers and simple arithmetic progressions.
- [Foundation and Higher] Include Fibonacci-type and quadratic sequences where tier-appropriate.
- [Higher only] Include simple geometric progressions, other sequences and sequences involving surds where required.
Nth term2 objectives
- [Foundation and Higher] Deduce expressions to calculate the nth term of linear sequences.
- [Higher only] Deduce expressions to calculate the nth term of quadratic sequences.
Key terms
sequencecube numbersquadratic sequencehighernth term
Exam tips
- Generating sequence terms exam tip 1: Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Generate terms of a sequence from a term-to-term rule or a position-to-term rule..
- Recognising sequences exam tip 1: Write the method before the answer so the examiner can follow each step. Apply this to [Foundation and Higher] Recognise and use triangular, square and cube numbers and simple arithmetic progressions..
Common mistakes
- Generating sequence terms common mistake 1: Show the method first, then give the final answer in the required form. Apply this directly to Generating sequence terms.
- Recognising sequences common mistake 1: Show the method first, then give the final answer in the required form. Apply this directly to Recognising sequences.
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