The patterns are formed with identical squares. Study the pattern carefully and answer the questions.
- How many squares will there be in Pattern 16?
- Which pattern is formed with 166 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 16
= 16 x 4 + 2
= 66
(b)
Pattern number x 4 + 2 = 166
Pattern number x 4 = 166 - 2
Pattern number = 164 ÷ 4
Pattern number = 41
Pattern number formed with 166 squares = 41
Answer(s): (a) 66; (b) 41