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4MA1/1FR Jun 2018, Question 11: Quadratic and Cubic Sequences

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

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The question, in short

A sequence comes from adding 1 to square numbers, with first terms 2, 5, 10, 17, 26. Find the 10th term and identify which term equals 1025.

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Part (a) · 1 mark

Work out the 10th term of the sequence.

  1. 1The nth term is n² + 1
  2. 210th term = 10² + 1 = 101

Answer101

Part (b) · 2 marks

Determine which term number in the sequence has the value 1025.

  1. 1Term n is n² + 1, so n² = 1025 − 1 = 1024
  2. 2n = √1024 = 32, so it is term 32

Answer32

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