4024/12 May/Jun 2023, Question 13: Pattern Sequences and Special Sequences
Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
Two short sequence questions: continue 1, 3, 9, 27, and find a formula in n for the nth term of 35, 31, 27, 23, 19.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Part (a) · 1 mark
Work out the term that follows 1, 3, 9, 27 in this sequence.
- 1Each term is 3 times the one before
- 227 × 3 = 81
Answer81
Part (b) · 2 marks
For the sequence 35, 31, 27, 23, 19, give an expression in n for its nth term.
- 1The terms go down by 4 each time, so the nth term contains −4n
- 2First term: 35 = −4 × 1 + 39
- 3nth term = 39 − 4n
Answer39 − 4n
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