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4MA1/1FR Jun 2023, Question 5: Linear Sequences and Common Difference

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 2 marks

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The question, in short

Sequence starts 2, 6, 10, 14; explain how the next term 18 is found and why 217 cannot appear in the sequence.

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Part (a) · 1 mark

Describe the pattern linking consecutive terms that gives 18 next.

  1. 1the difference between each term is 6 − 2 = 4, 10 − 6 = 4, 14 − 10 = 4
  2. 2so the rule is to add 4 each time
  3. 314 + 4 = 18

Answershe added 4

Part (b) · 1 mark

Give a reason, using the sequence's structure, why 217 is impossible.

  1. 1the terms are 2, 6, 10, 14, all even numbers
  2. 2adding 4 to an even number always gives another even number
  3. 3so every term in the sequence is even
  4. 4217 is odd
  5. 5so 217 cannot be in the sequence

Answerthe sequence is even

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