Study the series of figures carefully.

1. Complete the table.
2. Find the number of sticks needed in Pattern Number 39.
3. Find the number of dots needed when 583 sticks are used.

Pattern Number	Number of sticks	Number of dots
1	3	3
2	8	5
3	13	7
...	...	...
5	?	11
6	23	?

(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 5
= 5 x 4 - 1
= 19

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 6
= 6 x 2 + 1
= 13

(b)
Number of sticks needed in Pattern 39
= 39 x 4 - 1
= 155

(c)
Pattern Number x 4 - 1 = 583
Pattern Number x 4 = 583 + 1 = 584
Pattern number = 584 ÷ 4 = 146

Number of dots needed in Pattern 146
= 146 x 2 + 1
= 293

Answer(s): (a) 13, 19; (b) 155; (c) 293