The patterns are formed with identical squares. Study the pattern carefully and answer the questions.
- How many squares will there be in Pattern 22?
- Which pattern is formed with 154 squares?
(a)
Number of squares:
Pattern 1: 1 x 4 + 2 = 6
Pattern 2: 2 x 4 + 2 = 10
Pattern 3: 3 x 4 + 2 = 14
Formula:
Number of squares = Pattern number x 4 + 2
Number of squares in Pattern 22
= 22 x 4 + 2
= 90
(b)
Pattern number x 4 + 2 = 154
Pattern number x 4 = 154 - 2
Pattern number = 152 ÷ 4
Pattern number = 38
Pattern number formed with 154 squares = 38
Answer(s): (a) 90; (b) 38