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4MA1/1F Jan 2019, Question 3: The nth Term of a Linear Sequence

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 5 marks

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The question, in short

Pentagon patterns grow from 2, 6, 10; hexagon patterns follow multiply pattern number by 5 then subtract 1. Find pentagons in pattern 4, hexagons in pattern 7, and the pattern number giving 59 hexagons.

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Part (ai) · 1 mark

Find how many pentagons are in Pattern number 4.

  1. 110 + 4 = 14

Answer14

Part (aii) · 1 mark

Describe the method used to get the number of pentagons in Pattern 4.

  1. 1Pattern increases by 4 each time
  2. 2From pattern 3 (10 pentagons), add 4

AnswerAdded 4

Part (b) · 1 mark

Using the hexagon rule, find the number of hexagons in Pattern number 7.

  1. 17 × 5 = 35
  2. 235 − 1 = 34

Answer34

Part (c) · 2 marks

Find which Pattern number has exactly 59 hexagons.

  1. 159 + 1 = 60
  2. 260 ÷ 5 = 12

Answer12

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