Each pattern is made up of squares. By considering the pattern, give the number of squares in
- Pattern 5
- Pattern 18
- Pattern 152
(a)
Pattern for the number of squares
Pattern 1: 1 x 2 + 1 = 3
Pattern 2: 2 x 2 + 1 = 5
Pattern 3: 3 x 2 + 1 = 7
Pattern 4: 4 x 2 + 1 = 9
Formula
Number of squares = Pattern number x 2 + 1
Number of squares in Pattern 5
= 5 x 2 + 1
= 11
(b)
Number of squares in Pattern 18
= 18 x 2 + 1
= 37
(c)
Number of squares in Pattern 152
= 152 x 2 + 1
= 305
Answer(s): (a) 11; (b) 37; (c) 305