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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 and position numbers. The topic separates recursive descriptions from explicit nth-term formulae, so answers should explain both the pattern and the rule used to generate terms. Within Sequences, revision should focus on recognising the mathematical structure before choosing a method, because similar-looking questions can test different skills. A strong answer states the representation being used, shows the key calculation or reasoning step, and checks that the final answer matches the wording, units and accuracy of the question. Common mistakes usually come from applying a familiar procedure without checking the condition in the question, so each step should be linked back to the information given.
6
Objectives
10
Flashcards
10
Questions
90 min
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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
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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