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0580/22 May/Jun 2025, Question 7: The nth Term of a Linear Sequence

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 3 marks

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The question, in short

A sequence starts 11, 8, 5, 2. Find its next term and an expression for the nth term.

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Part (a) · 1 mark

Find the term that follows 2 in the sequence 11, 8, 5, 2.

  1. 1The terms go down by 3: 2 − 3 = −1

Answer−1

Part (b) · 2 marks

Find an expression in n for the nth term of the sequence 11, 8, 5, 2.

  1. 1Difference −3, so nth term = −3n + c
  2. 2n = 1: −3 + c = 11, so c = 14
  3. 3nth term = 14 − 3n

Answer14 − 3n

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