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0580/13 Oct/Nov 2024, Question 6: The nth Term of a Linear Sequence

Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Calculator · 4 marks

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The question, in short

Two sequences are given: 19, 26, 33, 40 and −1, 2, 5, 8. Find the next term and the term-to-term rule for the first, and the nth term for the second.

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Part (ai) · 1 mark

Find the term that follows 19, 26, 33, 40.

  1. 1The terms go up by 7: 40 + 7 = 47

Answer47

Part (aii) · 1 mark

State the rule that takes each term of 19, 26, 33, 40 to the next.

  1. 1Add 7

AnswerAdd 7

Part (b) · 2 marks

Find the nth term of the sequence −1, 2, 5, 8.

  1. 1The terms go up by 3, so start with 3n
  2. 23n for n = 1 is 3, and 3 − 4 = −1
  3. 3nth term = 3n − 4

Answer3n − 4

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Also searched as: 0580/13/O/N/24 · 0580_w24_qp_13 · 0580 w24 13 · question 6.
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