Year 11 - Maths
Advanced problem solving with further 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 use your enhanced knowledge of sequences to solve problems.
Key Notes
- Compound interest can be thought of as a geometric sequence.
- You can apply your knowledge of geometric sequences to solve algebraic compound interest problems.
Vocabulary To Learn
- Interest: Interest is money added to savings or loans.
- Compound interest: Compound interest is calculated on the original amount and the interest accumulated over the previous period.
- Exponential: The general form for an exponential equation is y = ab^x where a is the coefficient, b is the base and x is the exponent.
Common Mistakes To Avoid
- A multiplier of 1.3 is used to increase a value by 3%
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Compound interest can be thought of as a geometric sequence. You can apply your knowledge of geometric sequences to solve algebraic compound interest problems.
2. Use this key word in a maths sentence and explain it clearly. 'Interest'
Interest is money added to savings or loans. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: A multiplier of 1.3 is used to increase a value by 3%. Correction: A multiplier of 1.3 is used to increase a value by 30%.
More Lessons In This Unit
- 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
- 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.