0580/23 May/Jun 2022, Question 14: Quadratic and Cubic Sequences
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 2 marks
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The question, in short
Find the nth term formula for the sequence 8, 17, 32, 53, 80, …
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Solution · 2 marks
- 1First differences: 9, 15, 21, 27; second differences: 6
- 2So the sequence starts 3n²: 3, 12, 27, 48, 75
- 3Sequence − 3n²: 5, 5, 5, 5, 5
- 4nth term = 3n² + 5
Answer3n² + 5
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