Year 11 - Maths
Fibonacci and alternating 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 identify the features of Fibonacci and alternating sequences.
Key Notes
- The next term in the Fibonacci sequence is the sum of the previous two terms.
- The Fibonacci sequence can be represented graphically.
- An alternating sequence alternates between positive and negative terms.
Vocabulary To Learn
- Fibonacci: A Fibonacci sequence is a sequence where each term is the sum of the two previous terms.
- Alternating: An alternating sequence is a sequence where consecutive terms change sign.
Common Mistakes To Avoid
- Alternating sequences may cause difficulty if negative number skills are not secure.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The next term in the Fibonacci sequence is the sum of the previous two terms. The Fibonacci sequence can be represented graphically.
2. Use this key word in a maths sentence and explain it clearly. 'Fibonacci'
A Fibonacci sequence is a sequence where each term is the sum of the two previous terms. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Alternating sequences may cause difficulty if negative number skills are not secure. Correction: A review of negative numbers would be useful. Prior lessons can be used for this review if required.
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
- Identifying values in an arithmetic sequence Study Guide
- Introducing quadratic sequences Study Guide
- Problem solving with further sequences Study Guide
- Quadratic sequences Study Guide
- Reasoning about values in an arithmetic sequence Study Guide
- Sequence notation Study Guide
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