Each pattern is made up of squares. By considering the pattern, give the number of squares in
- Pattern 6
- Pattern 52
- Pattern 262
(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 6
= 6 x 2 + 1
= 13
(b)
Number of squares in Pattern 52
= 52 x 2 + 1
= 105
(c)
Number of squares in Pattern 262
= 262 x 2 + 1
= 525
Answer(s): (a) 13; (b) 105; (c) 525