0580/22 Oct/Nov 2023, Question 19: The nth Term of a Linear Sequence
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 4 marks
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The question, in short
Find the nth term formula for two sequences: 11, 8, 5, 2, −1, … and 1, 5, 25, 125, 625, …
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Part (a) · 2 marks
Find the nth term of the sequence 11, 8, 5, 2, −1, …
- 1Common difference = −3, so the nth term starts −3n
- 2First term: 11 = −3 × 1 + 14
- 3nth term = 14 − 3n
Answer14 − 3n
Part (b) · 2 marks
Find the nth term of the sequence 1, 5, 25, 125, 625, …
- 1Each term is × 5, and the first term is 1 = 5⁰
- 2nth term = 5ⁿ⁻¹
Answer5ⁿ⁻¹
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