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2 marksNumber Sequences and Rules

CSEC Mathematics · May/June 2016 · Paper 2 · Question 8(a)

A diagram shows the first three figures in a sequence, made of knots and strings. Each knot connects exactly 3 strings. Figure 1 has 1 knot and 3 strings. Figure 2 has 3 knots and 7 strings. Figure 3 has 7 knots and 15 strings.

Draw Figure 4 of the sequence.

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Other parts of this question

  1. 8(b)(i)Complete the table by inserting the missing values in the row numbered (i) for N=4.[2 marks]
  2. 8(b)(ii)Complete the table by inserting the missing values in the row numbered (ii) where S=255.[3 marks]
  3. 8(b)(iii)Complete the table by inserting the missing values in the row numbered (iii) for N=10.[3 marks]

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