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4MA1/2HR Jan 2019, Question 3: The nth Term of a Linear Sequence

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 4 marks

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The question, in short

For the sequence 10, 16, 22, 28, 34, derive a formula for the nth term, then use T's rule n² − 3 to identify a value shared by both sequences.

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Part (a) · 2 marks

Work out an expression involving n that produces the nth term of the given sequence.

  1. 116 − 10 = 6, so common difference is 6
  2. 210 − 6 = 4, so nth term is 6n + 4

Answer6n + 4

Part (b) · 2 marks

Using n² − 3 for sequence T, determine one number appearing in both sequences.

  1. 1Continue S: 10, 16, 22, 28, 34, 40, 46
  2. 2List T = n² − 3: −2, 1, 6, 13, 22, 33, 46
  3. 322 and 46 are in both lists, so one number is 46

Answer46

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