Japheth used grey and white squares to create the patterns.
Use the patterns that he has created to answer the following questions.
- How many squares will there be in Pattern 8?
- Which pattern will be made up of 161 squares?
(a)
Pattern for total number of squares
Pattern 1: 1 x 3 + 5 = 8
Pattern 2: 2 x 3 + 5 = 11
Pattern 3: 3 x 3 + 5 = 14
Formula:
Total number of squares = Pattern number x 3 + 5
Number of squares in Pattern 8
= 8 x 3 + 5
= 29
(b)
Pattern number x 3 + 5 = 161
Pattern number x 3 = 161 - 5
Pattern number x 3 = 156
Pattern number = 156 ÷ 3
Pattern number = 52
Answer(s): (a) 29; (b) 52