Study the series of figures carefully.

1. Complete the table.
2. Find the number of sticks needed in Pattern Number 27.
3. Find the number of dots needed when 727 sticks are used.

Pattern Number	Number of sticks	Number of dots
1	3	3
2	8	5
3	13	7
...	...	...
18	?	37
19	75	?

(a)
Pattern for the number of sticks
Pattern 1: 1 x 4 - 1 = 3 sticks
Pattern 2: 2 x 4 - 1 = 7 sticks
Pattern 3: 3 x 4 - 1 = 11 sticks

Formula:
Number of sticks needed = Pattern number x 4 - 1

Number of sticks needed for Pattern 18
= 18 x 4 - 1
= 71

Pattern for the number of dots
Pattern 1: 1 x 2 + 1 = 3 dots
Pattern 2: 2 x 2 + 1 = 5 dots
Pattern 3: 3 x 2 + 1 = 7 dots

Formula:
Number of dots = (Pattern Number x 2) + 1

Number of dots needed for Pattern 19
= 19 x 2 + 1
= 39

(b)
Number of sticks needed in Pattern 27
= 27 x 4 - 1
= 107

(c)
Pattern Number x 4 - 1 = 727
Pattern Number x 4 = 727 + 1 = 728
Pattern number = 728 ÷ 4 = 182

Number of dots needed in Pattern 182
= 182 x 2 + 1
= 365

Answer(s): (a) 39, 71; (b) 107; (c) 365