0580/22 May/Jun 2026, Question 14: Sequences and nth terms
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 4 marks
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The question, in short
Generate terms from the rule n² − 3, then find a rule for the sequence 4, 12, 36, 108.
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Part (a) · 2 marks
Give the first three terms of n² − 3.
- 1n = 1: 1 − 3 = −2
- 2n = 2: 4 − 3 = 1
- 3n = 3: 9 − 3 = 6
Answer−2, 1, 6
Part (b) · 2 marks
Find the nth term of 4, 12, 36, 108.
- 1Each term is 3 times the one before
- 2First term 4, so nth term = 4 × 3ⁿ⁻¹
Answer4 × 3ⁿ⁻¹
Stuck on a step? Read the free lesson: Quadratic and Cubic Sequences
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Also searched as: 0580/22/M/J/26 · 0580_s26_qp_22 · 0580 s26 22 · question 14.
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