The sequence of patterns is formed with squares. The first three patterns are shown.
- How many squares are needed in pattern 60?
- Which pattern number contains 319 squares?
(a)
Pattern for the total number of squares
Pattern 1: 7 squares = 1 x 3 + 4
Pattern 2: 10 squares = 2 x 3 + 4
Pattern 3: 13 squares = 3 x 3 + 4
Formula:
Total number of squares = Pattern number x 3 + 4
Number of squares in Pattern 60
= 60 x 3 + 4
= 184
(b)
Pattern number x 3 + 4 = 319
Pattern number x 3 = 319 - 4
Pattern number x 3 = 315
Pattern number
= 315 ÷ 3
= 105
Answer(s); (a) 184; (b) 105
