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4MA1/2F Jun 2020, Question 6: Linear Sequences and Common Difference

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 5 marks

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The question, in short

For the sequence 3, 7, 11, 15, 19, find the next term, explain the method, find the first term above 70, and judge whether 96 belongs.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Part (a) · 1 mark

Write down the term that follows 19 in the sequence.

  1. 119 + 4 = 23

Answer23

Part (b) · 1 mark

Explain how you obtained the next term 23.

  1. 1Each term increases by 4

AnswerAdded 4

Part (c) · 2 marks

Find the smallest number in the sequence that is greater than 70.

  1. 1The terms go up by 4, so the nth term is 4n − 1.
  2. 24n − 1 > 70 gives n > 17.75, so take n = 18.
  3. 34 × 18 − 1 = 71

Answer71

Part (d) · 1 mark

Decide whether Ada is right that 96 is in the sequence, giving a reason.

  1. 1The sequence starts at 3 and goes up by 4 each time
  2. 2Odd + 4 is always odd, so every term is odd
  3. 3No, because all terms in the sequence are odd and 96 is even

AnswerNo, because all terms in the sequence are odd and 96 is even

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