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MA13-04 Maths Watch

Finding the nth Term of a Linear Sequence

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In this lesson

In this video you'll learn about nth term of a linear sequence for GCSE Maths, with worked examples and the mistakes examiners report. By the end you'll be able to deduce an algebraic expression for the nth term of a linear sequence, correctly distinguishing it from the term-to-term rule.

What it covers

  1. 1:02 Two rules, one sequence
  2. 3:36 The method
  3. 7:26 Diagnose someone else's answer
  4. 9:10 Using the expression
  5. 11:54 Exam technique
  6. 15:15 What's next

Key words

For: AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300, Edexcel IGCSE 4MA1, OCR GCSE J560, Cambridge IGCSE 0580

On the specification

BoardSpecStatement
AQA GCSE 8300A25Deduce expressions to calculate the nth term of linear sequences
Edexcel GCSE 1MA1A25Deduce expressions to calculate the nth term of linear sequences
Eduqas GCSE C300FA21Deduce expressions to calculate the nth term of linear sequences
Eduqas GCSE C300HA25Deduce expressions to calculate the nth term of linear and quadratic sequences
Edexcel IGCSE 4MA1F3.1CUse linear expressions to describe the nth term of arithmetic sequences
Edexcel IGCSE 4MA1H3.1AUnderstand and use common difference (d) and first term (a) in an arithmetic sequence
Edexcel IGCSE 4MA1H3.1BKnow and use nth term = a + (n - 1)d
OCR GCSE J5606.06aGenerate a sequence by spotting a pattern or using a term-to-term rule given algebraically or in words. Find a position-to-term rule for simple arithmetic sequences, algebraically or in words.
Cambridge IGCSE 0580C2.7Continue a given number sequence or pattern.
Cambridge IGCSE 0580E2.7Continue a given number sequence or pattern.
For teachers

This GCSE Maths lesson teaches finding the nth term of a linear sequence. By the end, students should be able to deduce an algebraic expression for the nth term of a linear sequence, correctly distinguishing it from the term-to-term rule. It works through three worked examples and the mistakes examiners report.