The patterns are formed with identical squares. Study the pattern carefully and answer the questions.
- How many squares will there be in Pattern 18?
- Which pattern is formed with 198 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 18
= 18 x 4 + 2
= 74
(b)
Pattern number x 4 + 2 = 198
Pattern number x 4 = 198 - 2
Pattern number = 196 ÷ 4
Pattern number = 49
Pattern number formed with 198 squares = 49
Answer(s): (a) 74; (b) 49