Lemmara logoLemmaraWorked solution

0580/11 May/Jun 2025, Question 9: Pattern Sequences and Special Sequences

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Non-calculator · 5 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

A sequence starts 33, 26, 19, 12 and another starts 19, 23, 27, 31; describe the first sequence's rule, continue it, and find the nth term of the second.

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

Part (ai) · 1 mark

State the rule linking each term of 33, 26, 19, 12 to the next.

  1. 133 − 26 = 7, 26 − 19 = 7: subtract 7

AnswerSubtract 7

Part (aii) · 2 marks

Use the rule to work out the fifth and sixth terms of 33, 26, 19, 12.

  1. 112 − 7 = 5
  2. 25 − 7 = −2

Answer5, −2

Part (b) · 2 marks

Find an expression in n for the nth term of 19, 23, 27, 31.

  1. 1Common difference 4, so 4n
  2. 2First term: 19 − 4 = 15
  3. 3nth term = 4n + 15

Answer4n + 15

Stuck on a step? Read the free lesson: Pattern Sequences and Special Sequences

Practise more pattern sequences and special sequences questions

Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on pattern sequences and special sequences

Also searched as: 0580/11/M/J/25 · 0580_s25_qp_11 · 0580 s25 11 · question 9.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.