4024/11 Oct/Nov 2024, Question 8: The nth Term of a Linear Sequence
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 3 marks
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The question, in short
A sequence starts 2, 8, 14, 20. Find its next term and an expression in n for the nth term.
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Part (a) · 1 mark
Work out the number that follows 20 in the sequence.
- 1Add 6 each time: 20 + 6 = 26
Answer26
Part (b) · 2 marks
Give a formula using n that produces the nth term of the sequence.
- 1Common difference 6, so 6n + j
- 26 × 1 + j = 2 so j = −4
- 3nth term = 6n − 4
Answer6n − 4
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