The patterns are formed with identical squares. Study the pattern carefully and answer the questions.
- How many squares will there be in Pattern 28?
- Which pattern is formed with 214 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 28
= 28 x 4 + 2
= 114
(b)
Pattern number x 4 + 2 = 214
Pattern number x 4 = 214 - 2
Pattern number = 212 ÷ 4
Pattern number = 53
Pattern number formed with 214 squares = 53
Answer(s): (a) 114; (b) 53