Rods are used to make the figures as shown.
- How many rods are used to make Figure 14?
- Which figure requires the use of 184 rods?
(a)
Pattern for the number of rods
Figure 1: 1 x 6 - 2 = 4
Figure 2: 2 x 6 - 2 = 10
Figure 3: 3 x 6 - 2 = 16
Figure 4: 4 x 6 - 2 = 22
Formula:
Number of rods used = Figure Number x 6 - 2
Number of rods used to make Figure 14
= 14 x 6 - 2
= 84 - 2
= 82
(b)
Figure Number x 6 - 2 = 184
Figure Number x 6 = 184 + 2
Figure Number x 6 = 186
Figure Number = 186 ÷ 6
Figure Number = 31
Figure Number that requires the use of 184 rods = 31
Answer(s): (a) 82; (b) 31