0580/22 Feb/Mar 2023, Question 4: The nth Term of a Linear Sequence
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 3 marks
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The question, in short
A sequence starts 23, 17, 11, 5. Find the next term and an expression for the nth term.
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Part (a) · 1 mark
Write down the number that follows 5 in the sequence.
- 1The terms decrease by 6: 5 − 6 = −1
Answer−1
Part (b) · 2 marks
Find the nth term of the sequence.
- 1The terms go down by 6 each time, so the nth term has −6n.
- 2The first term is 23, and 23 + 6 = 29.
- 3nth term = 29 − 6n
- 4Check: n = 1 gives 29 − 6 = 23.
Answer29 − 6n
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Also searched as: 0580/22/F/M/23 · 0580_m23_qp_22 · 0580 m23 22 · question 4.
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