Learning objective
[Higher only] Deduce expressions to calculate the nth term of quadratic sequences.
Read the explanation, check the common trap, then practise with flashcards and questions.
At a glance
5
Flashcards
7
Questions
Topic
Sequences
Subtopic
Nth term
Study support
Understand this objective
Short explanation
[Higher only] Deduce expressions to calculate the nth term of quadratic sequences. is assessed within Sequences. Quadratic sequences are identified by a constant second difference, which determines the coefficient of the n^2 term. A worked answer should use the second difference, build the quadratic expression, then compare remaining terms to finish the nth-term rule. Unlike linear nth-term questions, checking only the common first difference is not enough because the rate of change is itself changing. For exam answers, show the chosen representation, calculation step or graph reading before giving the final value.
Key concepts
Why it matters
This objective helps connect Nth term to exam-style questions, flashcards, and revision notes for Sequences.
Common mistakes
1 linked- Nth term common mistake 1: Show the method first, then give the final answer in the required form. Apply this directly to Nth term.
Revision tools
Choose how to practise
Flashcards5 linked cards
Flashcard 1 of 5
Practice Questions7 linked questions
Question 1 of 7
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Revision notestopic notes
Open the full topic revision notes when you are ready to review this objective in context.
Open revision notesRelated learning objectives
- [Foundation and Higher] Generate terms of a sequence from a term-to-term rule or a position-to-term rule.
Generating sequence terms
- [Foundation and Higher] Recognise and use triangular, square and cube numbers and simple arithmetic progressions.
Recognising sequences
- [Foundation and Higher] Include Fibonacci-type and quadratic sequences where tier-appropriate.
Recognising sequences
- [Higher only] Include simple geometric progressions, other sequences and sequences involving surds where required.
Recognising sequences
- [Foundation and Higher] Deduce expressions to calculate the nth term of linear sequences.
Nth term