0580/23 Oct/Nov 2025, Question 16: The nth Term of a Linear Sequence
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Non-calculator · 5 marks
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The question, in short
Complete the table by finding the nth term for each of the three sequences A, B and C from their given terms.
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Solution · 5 marks
- 1A: goes up by 5, so 5n + c; 5 + c = 8 gives c = 3: 5n + 3
- 2B: numerators 3, 4, 5, … = n + 2; denominators 2, 3, 4, … = n + 1: (n + 2)/(n + 1)
- 3C: 1/4 = 2⁻², 1/2 = 2⁻¹, 1 = 2⁰, 2 = 2¹, so the power is n − 3: 2ⁿ⁻³
Answer| Sequence A | 5n + 3 | | Sequence B | (n + 2)/(n + 1) | | Sequence C | 2ⁿ⁻³ |
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