The patterns are formed with identical squares. Study the pattern carefully and answer the questions.
- How many squares will there be in Pattern 13?
- Which pattern is formed with 206 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 13
= 13 x 4 + 2
= 54
(b)
Pattern number x 4 + 2 = 206
Pattern number x 4 = 206 - 2
Pattern number = 204 ÷ 4
Pattern number = 51
Pattern number formed with 206 squares = 51
Answer(s): (a) 54; (b) 51