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4MA1/1H Jun 2024, Question 1: Linear Sequences and Common Difference

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

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The question, in short

From the opening terms 1, 4, 7, 10 of an arithmetic sequence, derive a formula for the nth term, then use a separate rule 5n + 17 to work out its 12th term.

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Part (a) · 2 marks

Using the listed terms 1, 4, 7, 10, write a formula involving n that generates the nth term.

  1. 1The terms go up by 3 each time, so the nth term starts with 3n.
  2. 2When n = 1, 3n = 3, but the first term is 1.
  3. 31 − 3 = −2, so the nth term is 3n − 2

Answer3n − 2

Part (b) · 1 mark

For the sequence whose nth term is 5n + 17, calculate the value when n is 12.

  1. 15 × 12 + 17 = 60 + 17
  2. 260 + 17 = 77

Answer77

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