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0580/12 Feb/Mar 2022, Question 18: Linear Sequences and Common Difference

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 4 marks

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The question, in short

Sequence starts 1, 23, 45, 67. Find the next two terms and an expression for the nth term.

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Part (a) · 2 marks

Write down the fifth and sixth terms of the sequence.

  1. 1Term-to-term rule: add 22
  2. 267 + 22 = 89, 89 + 22 = 111
  3. 3Next two terms: 89, 111

Answer89, 111

Part (b) · 2 marks

Find an expression for the nth term of the sequence.

  1. 1Common difference 22, so nth term = 22n + k
  2. 2First term: 22 + k = 1 so k = −21
  3. 3nth term = 22n − 21

Answer22n − 21

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Also searched as: 0580/12/F/M/22 · 0580_m22_qp_12 · 0580 m22 12 · question 18.
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