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2 marksNumber Sequences and Rules

CSEC Mathematics · May/June 2017 · Paper 2 · Question 8(a)

The first four figures in a sequence are shown. Figure 1 is a single black dot, while each of the others consist of black dots arranged in an equilateral manner.

Draw Figure 5 of the sequence in the space below.

This question uses a figure or table from the paper — you'll see it when you practise.

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Other parts of this question

  1. 8(b)How many dots would be in Figure 6?[1 mark]
  2. 8(c)Complete the row which corresponds to Figure 11 in the table above.[2 marks]
  3. 8(d)Determine which figure in the sequence has 210 dots.[2 marks]
  4. 8(e)Write a simplified algebraic expression for the number of dots, d, in the Figure n.[1 mark]
  5. 8(f)Show that there is no diagram that has exactly 1000 dots.[2 marks]

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