Year 11 - Maths
Checking and securing understanding of geometric 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 recognise the features of a geometric sequence and continue it.
Key Notes
- Identifying a common ratio between each term can help us identify a geometric sequence.
- Divide each term by its previous consecutive term, if the results are all the same, this is the common ratio.
- If there is a common ratio, then the sequence is geometric.
Vocabulary To Learn
- Geometric sequence: A geometric sequence is a sequence with a constant multiplicative relationship between successive terms.
- Common ratio: A common ratio is a key feature of a geometric sequence. The constant multiplier between successive terms is called the common ratio.
Common Mistakes To Avoid
- The common multiplier must be a positive integer for the sequence to be geometric.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Identifying a common ratio between each term can help us identify a geometric sequence. Divide each term by its previous consecutive term, if the results are all the same, this is the common ratio.
2. Use this key word in a maths sentence and explain it clearly. 'Geometric sequence'
A geometric sequence is a sequence with a constant multiplicative relationship between successive terms. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: The common multiplier must be a positive integer for the sequence to be geometric. Correction: The multiplier needs to be the same between consecutive terms but it can be any value. Examples of this can be seen in the lesson.
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 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
- Quadratic 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.