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0580/41 Oct/Nov 2025, Question 20: Sequences

Cambridge IGCSE Mathematics 0580 · Paper 41 (Extended) · Calculator · 3 marks

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The question, in short

The sequence 48, 24, 12, 6, 3 halves each time. Find the next term and the nth term.

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

Part (a) · 1 mark

Find the next term.

  1. 1Each term is half the previous term
  2. 23 ÷ 2 = 1.5

Answer1.5 or 1 1/2 or 3/2

Part (b) · 2 marks

Find the nth term.

  1. 1Each term is half the one before: first term 48, ratio 1/2.
  2. 2nth term = 48 × (1/2)ⁿ⁻¹
  3. 348 = 96 × 1/2, so this is 96 × (1/2)ⁿ

Answer96 × (1/2)ⁿ

Stuck on a step? Read the free lesson: Exponential Sequences

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Also searched as: 0580/41/O/N/25 · 0580_w25_qp_41 · 0580 w25 41 · question 20.
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