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0580/11 May/Jun 2021, Question 12: 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

A sequence has nth term 6n − 4. Find its first three terms and determine which term position equals 422.

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

Part (a) · 1 mark

List the first three values generated by the rule 6n − 4.

  1. 1n = 1: 6 − 4 = 2; n = 2: 12 − 4 = 8; n = 3: 18 − 4 = 14
  2. 22, 8, 14

Answer2, 8, 14

Part (b) · 2 marks

Given that the kth term is 422, calculate k.

  1. 16k − 4 = 422
  2. 26k = 426
  3. 3k = 71

Answer71

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Also searched as: 0580/11/M/J/21 · 0580_s21_qp_11 · 0580 s21 11 · question 12.
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