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.
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Part (a) · 1 mark
Find the next term.
- 1Each term is half the previous term
- 23 ÷ 2 = 1.5
Answer1.5 or 1 1/2 or 3/2
Part (b) · 2 marks
Find the nth term.
- 1Each term is half the one before: first term 48, ratio 1/2.
- 2nth term = 48 × (1/2)ⁿ⁻¹
- 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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