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Year 8 - Maths

Calculating any term

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 calculate any term using the n^th term.

Key Notes

  • The position to term rule can be expressed using n.
  • A sequence can be generated using successive values of n .
  • Any term can be calculated using the n^th term.

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

  • That the sequence $$3n+2$$ starts with 3 and adds 2, or starts with 2 and adds 3.

3 Quick Questions (With Answers)

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

The position to term rule can be expressed using n. A sequence can be generated using successive values of n .

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: That the sequence $$3n+2$$ starts with 3 and adds 2, or starts with 2 and adds 3. Correction: Calculate the first few terms. Ask, "When $$n = 1$$ what is the term value?" This is the first value for our sequence.

More Lessons In This Unit

Browse all guides in the Year 8 Maths guide library.