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2 marksNumber Sequences and Rules

CSEC Mathematics · May/June 2013 · Paper 2 · Question 8(a)

The drawings show the first three diagrams in a sequence. Each diagram is made up of wires of equal length joined by balls of plasticine. Diagram 1 has 12 wires and 8 balls. Each new diagram is formed by fitting the frame shown to the right of the previous diagram. Diagram 2 has 8 more wires and 4 more balls than Diagram 1.

Draw a sketch of Diagram 4, the fourth diagram in the sequence.

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Other parts of this question

  1. 8(b)(i)Complete the table by inserting the missing values at the rows marked (i) for N=4.[2 marks]
  2. 8(b)(ii)Complete the table by inserting the missing values at the rows marked (ii) for N=20.[4 marks]
  3. 8(c)(i)Write the rule which may be used to find the value of W where N is known.[1 mark]
  4. 8(c)(ii)Write the rule which may be used to find the value of B where N is known.[1 mark]

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