0580/21 May/Jun 2024, Question 3: The nth Term of a Linear Sequence
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 4 marks
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The question, in short
Table gives nth terms for sequences A (60 − 4n) and B (n² − 300); complete the 5th term cells and find the smallest positive value in sequence B.
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Part (a) · 2 marks
Work out the 5th term of each sequence by substituting n = 5 into 60 − 4n and n² − 300, and fill both table cells.
- 1Sequence A: 60 − 4 × 5 = 40
- 2Sequence B: 5² − 300 = −275
Answer| Sequence A | 40 | | Sequence B | −275 |
Part (b) · 2 marks
Determine the smallest positive number that appears in sequence B, whose nth term is n² − 300.
- 1Need n² > 300: 17² = 289 is too small, 18² = 324
- 2Smallest positive term = 324 − 300 = 24
Answer24
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Also searched as: 0580/21/M/J/24 · 0580_s24_qp_21 · 0580 s24 21 · question 3.
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