Year 11 - Maths
Conditions in arithmetic 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 first value bigger or smaller than a given value in a sequence.
Key Notes
- The n^th term rule can calculate the position of the value that is equal to the given value.
- If this is not an integer, then you can round down or up as needed.
- This term number can be used to generate the desired value.
Vocabulary To Learn
- Arithmetic sequence: An arithmetic (or linear) sequence is a sequence where the difference between successive terms is a constant.
- n^th term: The n^th term of a sequence is the position of a term in a sequence where n stands for the term number.
Common Mistakes To Avoid
- Pupils may round the wrong way when finding the term number for a particular term value.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
The n^th term rule can calculate the position of the value that is equal to the given value. If this is not an integer, then you can round down or up as needed.
2. Use this key word in a maths sentence and explain it clearly. 'Arithmetic sequence'
An arithmetic (or linear) sequence is a sequence where the difference between successive terms is a constant. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils may round the wrong way when finding the term number for a particular term value. Correction: By calculating the terms either side of the non-integer value of $$n$$, pupils can easily determine what the rounded value of $$n$$ should be.
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
- 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
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