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0580/11 May/Jun 2022, Question 20: The nth Term of a Linear Sequence

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 3 marks

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The question, in short

For the sequence 22, 17, 12, 7, 2, find the next term and then find the nth term.

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Part (a) · 1 mark

Find the term that follows 2 in the sequence.

  1. 1Each term is 5 less: 2 − 5 = −3

Answer−3

Part (b) · 2 marks

Find an expression in n for the nth term of the sequence.

  1. 1Difference −5, so nth term = −5n + k
  2. 2n = 1: −5 + k = 22, so k = 27
  3. 3nth term = 27 − 5n

Answer27 − 5n

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Also searched as: 0580/11/M/J/22 · 0580_s22_qp_11 · 0580 s22 11 · question 20.
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