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4MA1/2FR Jan 2023, Question 6: Linear Sequences and Common Difference

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

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The question, in short

A sequence starts 4, 10, 16, 22, 28. Find its next term, justify the method, calculate the 13th term, and explain why 467 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 28 in the sequence.

  1. 128 + 6 = 34

Answer34

Part (aii) · 1 mark

Describe the rule used to get from one term to the next.

  1. 1The difference between each term is 6
  2. 2Each term increases by 6

AnswerAdded 6

Part (b) · 1 mark

Calculate the 13th term of the sequence.

  1. 1First term: 4
  2. 2Common difference: 6
  3. 3nth term formula: 6n − 2
  4. 413th term: 6 × 13 − 2 = 78 − 2 = 76

Answer76

Part (c) · 1 mark

Give a reason why 467 cannot appear in the sequence.

  1. 1The sequence follows the rule 6n − 2
  2. 2All terms are even because 6n is even and 6n − 2 is also even
  3. 3467 is odd
  4. 4An odd number cannot be in an even sequence
  5. 5So 467 cannot be in the sequence

Answer467 is odd, but every term is even because the nth term is 6n − 2

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