Some beads were used to create the figures .
- How many beads were used to create Figure 8?
- A pattern is formed with 601 beads. Which figure would it be?
(a)
Pattern for the number of beads
Figure 1: (1 - 1) x 4 + 1 = 1
Figure 2: (2 - 1) x 4 + 1 = 5
Figure 3: (3 - 1) x 4 + 1 = 9
Formula
Number of beads = (Figure number - 1) x 4 + 1
Number of beads for Figure 8
= (8 - 1) x 4 + 1
= 29
(b)
Figure number with 601 beads
= (601 - 1) ÷ 4 + 1
= 600 ÷ 4 + 1
= 151
Answer(s): (a) 29; (b) 151