Page 221 - Math Smart - 7

O The fences around a park are made of 1-m pieces of wood as shown.
1 section of the fence 2 sections of the fence
5 pieces of wood 9 pieces of wood

Pattern 1 Pattern 2
a) Draw diagrams to show Pattern 3 (3 sections of the fence), Pattern 4 (4 sections of the fence)
and Pattern 5 {5 sections of the fence).
b) Complete the following table.

Pattern number 1 2 3 4 5
Number of pieces of wood 5 9

Write down the term-to-term rule. Use the table to help you.

Since the common difference is 4, let us compare the number of pieces of wood to the
multiples of 4.

1 2 3 4 5
Pattern number
Number of pieces of wood 5 9
Multiples of 4 4 8

1
4+1 8 +
1
(Multiples of 4) +
= 5 = 9
Use the table below to determine the general term. In, the formula we can use to find the
number of pieces of wood in n sections of the fence
d) Use In to calculate
i) how many pieces of wood are required for a fence made up of 50 sections (T50).
ii) how many sections of fence can be made with 823 pieces of wood.

O A white cross Is made up of square white tiles as shown below.

Length of each arm = 1 tile Length of each arm = 2 tiles
Total number of tiles = 5 Total number of tiles = 9
white tile
/

Pattern 1 Pattern 2

a) Draw diagrams to work out Pattern 3 and Pattern 4.