0580/23 Oct/Nov 2021, Question 10: The nth Term of a Linear Sequence
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 3 marks
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The question, in short
Sequence starts 3, −1, −5, −9. Find the following term and an expression for the nth term.
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Part (a) · 1 mark
Work out the term that comes after −9 in the sequence.
- 1The terms go down by 4
- 2−9 − 4 = −13
Answer−13
Part (b) · 2 marks
Find an expression in n that gives the nth term of the sequence.
- 1Common difference = −4, so −4n
- 2n = 1: −4 + c = 3, so c = 7
- 3nth term = −4n + 7
Answer−4n + 7
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