Study Hub

Study Guides

This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.

Back to Study HubBrowse Year 8 Maths Guides

Year 8 - Maths

Justifying terms of a sequence

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 determine whether a number is a term of a given arithmetic sequence.

Key Notes

  • A graph can be used to identify if a particular number is a term in a sequence.
  • The nth term rule can be used to determine if a number is in the sequence .
  • It is important to justify if a number is or is not a term in a sequence.

Vocabulary To Learn

  • Arithmetic sequence: An arithmetic (or linear) sequence is a sequence where the difference between successive terms is a constant.

Common Mistakes To Avoid

  • It is impossible to tell if 174 368 is in the sequence -8,-3,2,7, ...

3 Quick Questions (With Answers)

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

A graph can be used to identify if a particular number is a term in a sequence. The nth term rule can be used to determine if a number is in the sequence .

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: It is impossible to tell if 174 368 is in the sequence -8,-3,2,7, ... Correction: Generalising the rule for forming a given sequence can help us see if a value is in the sequence.

More Lessons In This Unit

Browse all guides in the Year 8 Maths guide library.