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Year 8 - Maths

Generating a sequence using a position-to-term rule

Sequences

Unit Summary

In this unit we develop knowledge of sequences to be able to identify, determine, and continue arithmetic sequences. We finish the unit by looking at how sequences may be reprsented graphically.

Lesson Summary

You will learn to appreciate that a sequence can be generated and described by a position-to-term rule.

Key Notes

  • The position of a term in the sequence is its term number.
  • The general term can be used to identify a specific term.
  • The general term can be used to generate a sequence .
  • The general term can be used to generate any number in the sequence.
  • The general term can be used to describe a sequence.

Vocabulary To Learn

  • Position-to-term: A position-to-term rule describes how to generate the term from the term number.

Common Mistakes To Avoid

  • The position-to-term rule is the initial term add the common difference.

3 Quick Questions (With Answers)

1. Solve this in steps: explain the method from this lesson and why each step matters.

The position of a term in the sequence is its term number. The general term can be used to identify a specific term.

2. Use this key word in a maths sentence and explain it clearly. 'Position-to-term'

A position-to-term rule describes how to generate the term from 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: The position-to-term rule is the initial term add the common difference. Correction: Once pupils have found the additive pattern get them to write each term as a value add the difference.

More Lessons In This Unit

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