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3 marksNumber Sequences and Rules

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

A table shows the number of knots (K) and strings (S) for Figure Number (N). The table has rows for N=1, 2, 3, 4, (missing), 10. K values are 1, 3, 7, (missing), (missing), (missing). S values are 3, 7, 15, (missing), 255, (missing).

Complete the table by inserting the missing values in the row numbered (iii) for N=10.

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Other parts of this question

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

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