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4MA1/2F Jun 2022, Question 3: Linear Sequences and Common Difference

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

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The question, in short

Sequence starts 7, 13, 19, 25, 31; find the next term, justify the method, use the 30th term 181 to get the 28th term, and explain why 96 is not in the sequence.

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

Part (ai) · 1 mark

Write down the term that follows 31 in the sequence.

  1. 131 + 6 = 37

Answer37

Part (aii) · 1 mark

Explain the reasoning used to obtain the next term in part (ai).

  1. 1Each term increases by 6

Answer+6

Part (b) · 1 mark

Given the 30th term is 181, work out the 28th term.

  1. 1The sequence is 6n + 1
  2. 230th term = 6×30 + 1 = 181
  3. 328th term = 6×28 + 1 = 168 + 1 = 169

Answer169

Part (c) · 1 mark

Explain why 96 cannot be a term of this sequence.

  1. 1The sequence follows 6n + 1, so all terms are odd
  2. 296 is even
  3. 3Therefore, 96 cannot be in the sequence

AnswerAll the numbers in the sequence are odd numbers

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