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0580/13 May/Jun 2025, Question 5: Quadratic and Cubic Sequences

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Non-calculator · 2 marks

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The question, in short

Find the next term in each of two sequences.

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

Part (a) · 1 mark

Find the next term in the sequence 1, 5, 10, 16, 23, …

  1. 1Differences are 4, 5, 6, 7, so the next difference is 8
  2. 223 + 8 = 31

Answer31

Part (b) · 1 mark

Find the next term in the sequence 1, 2, 4, 8, 16, …

  1. 1Each term is double the one before
  2. 216 × 2 = 32

Answer32

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