Year 11 - Maths
Quadratic sequences
Further sequences
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit, pupils consider different types of sequences such as Fibonacci and oscillating sequences. They then consolidate their knowledge of different types of sequences by solving contextual problems.
Lesson Summary
You will learn to find the n^th term formula for a quadratic sequence.
Key Notes
- A quadratic sequence does not have a common difference.
- The second differences between terms are equal.
- The general n^th term formula is an^2 + bn + c
Vocabulary To Learn
- n^th term: The nth term of a sequence is the position of a term in a sequence where n stands for the term number.
- Quadratic: A quadratic is an equation, graph, or sequence whereby the highest exponent of the variable is 2
Common Mistakes To Avoid
- Since there is no common difference, it is impossible to find the n^th term.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A quadratic sequence does not have a common difference. The second differences between terms are equal.
2. Use this key word in a maths sentence and explain it clearly. 'n^th term'
The nth term of a sequence is the position of a term in a sequence where n stands for the term number. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Since there is no common difference, it is impossible to find the n^th term. Correction: The first learning cycle shows how we can build quadratic sequences from n^2 and a linear sequence.
More Lessons In This Unit
- Advanced problem solving with further sequences Study Guide
- Arithmetic sequences and their graphs Study Guide
- Checking and securing rules for generating arithmetic sequences Study Guide
- Checking and securing understanding of geometric sequences Study Guide
- Checking and securing understanding of special number sequences Study Guide
- Conditions in arithmetic sequences Study Guide
- Fibonacci and alternating sequences Study Guide
- Identifying values in an arithmetic sequence Study Guide
- Introducing quadratic sequences Study Guide
- Problem solving with further sequences Study Guide
- Reasoning about values in an arithmetic sequence Study Guide
- Sequence notation Study Guide
Browse all guides in the Year 11 Maths guide library.