0580/21 Oct/Nov 2022, Question 8: The nth Term of a Linear Sequence
Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks
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The question, in short
Two number sequences are given: write the next term of 3, 9, 27, 81, … and find the nth term of 13, 17, 21, 25, …
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Part (a) · 1 mark
Write down the term that follows 81 in the sequence 3, 9, 27, 81, …
- 1Each term is multiplied by 3
- 281 × 3 = 243
Answer243
Part (b) · 2 marks
Find the nth term formula for the sequence 13, 17, 21, 25, …
- 1Common difference = 4, so 4n
- 2First term: 4 × 1 = 4, 13 − 4 = 9
- 3nth term = 4n + 9
Answer4n + 9
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