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4MA1/1HR Jun 2022, Question 2: Pattern Sequences and Special Sequences

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 4 marks

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The question, in short

Using shelf widths 2.4 m for type R and 3.5 m for type S in the shown sequence, find a unit's total width for 6 R shelves and an expression for W with n R shelves.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 2 marks

Calculate the total width, in metres, of a shelving unit containing 6 type R shelves at 2.4 m each.

  1. 16 × 2.4 = 14.4
  2. 25 × 3.5 = 17.5
  3. 314.4 + 17.5 = 31.9

Answer31.9

Part (b) · 2 marks

Given n type R shelves and total width W metres, write W as an expression in n in simplest form.

  1. 12.4n + 3.5(n − 1)
  2. 22.4n + 3.5n − 3.5
  3. 35.9n − 3.5

Answer5.9n − 3.5

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