Each pattern is made up of squares. By considering the pattern, give the number of squares in
- Pattern 8
- Pattern 21
- Pattern 211
(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 8
= 8 x 2 + 1
= 17
(b)
Number of squares in Pattern 21
= 21 x 2 + 1
= 43
(c)
Number of squares in Pattern 211
= 211 x 2 + 1
= 423
Answer(s): (a) 17; (b) 43; (c) 423