The sequence of patterns is formed with squares. The first three patterns are shown.
- How many squares are needed in pattern 49?
- Which pattern number contains 265 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 49
= 49 x 3 + 4
= 151
(b)
Pattern number x 3 + 4 = 265
Pattern number x 3 = 265 - 4
Pattern number x 3 = 261
Pattern number
= 261 ÷ 3
= 87
Answer(s); (a) 151; (b) 87
