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4MA1/1FR Jan 2022, Question 5: Linear Sequences and Common Difference

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 3 marks

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The question, in short

Given the sequence 7, 12, 17, 22, find its next term, explain the method, and decide whether 256 belongs to the sequence with a reason.

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 22 in the sequence.

  1. 17, 12, 17, 22
  2. 212 − 7 = 5
  3. 317 − 12 = 5
  4. 422 + 5 = 27

Answer27

Part (aii) · 1 mark

Explain the method used to obtain the next term.

  1. 1The difference between each term is 5
  2. 2Each term increases by 5
  3. 3So the rule is add 5

AnswerAdd 5

Part (b) · 1 mark

Tick Yes or No for whether 256 is in the sequence, and give a reason.

  1. 1The sequence follows the pattern 5n + 2
  2. 2Check the units digit: all terms end in 2 or 7
  3. 3256 ends in 6, which is not 2 or 7
  4. 4So 256 is not in the sequence

AnswerNo, because every term is of the form 5n + 2 and so ends in 2 or 7, while 256 ends in 6

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