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0580/11 Oct/Nov 2022, Question 17: Pattern Sequences and Special Sequences

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

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The question, in short

Two sequences are given: 3, 9, 27, 81, … and 13, 17, 21, 25, … State the term to term rule for the first 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 (a) · 1 mark

Describe how each term of 3, 9, 27, 81, … is obtained from the one before it.

  1. 13 × 3 = 9, 9 × 3 = 27: rule is × 3

Answer× 3

Part (b) · 2 marks

Find an expression in n for the nth term of 13, 17, 21, 25, …

  1. 1Difference = 4, so 4n + c
  2. 2First term: 4 × 1 + c = 13, so c = 9
  3. 3nth term = 4n + 9

Answer4n + 9

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