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4MA1/1F Jun 2022, Question 16: Linear Sequences and Common Difference

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 3 marks

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The question, in short

From the opening terms 1, 5, 9, 13, 17 of an arithmetic sequence, derive a formula for the nth term, then use the rule 3n + 5 for a second sequence.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 2 marks

Work out a formula involving n that produces the nth term of the sequence starting 1, 5, 9, 13, 17.

  1. 1Common difference = 5 − 1 = 4
  2. 2First term = 1
  3. 3nth term = 4n + (1 − 4)
  4. 44n − 3

Answer4n − 3

Part (b) · 1 mark

Given the nth term 3n + 5, write the term at position 2m as an expression in m.

  1. 1Given nth term = 3n + 5
  2. 2Replace n with 2m
  3. 33(2m) + 5
  4. 46m + 5

Answer6m + 5

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