Each pattern is made up of squares. By considering the pattern, give the number of squares in
- Pattern 9
- Pattern 17
- Pattern 146
(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 9
= 9 x 2 + 1
= 19
(b)
Number of squares in Pattern 17
= 17 x 2 + 1
= 35
(c)
Number of squares in Pattern 146
= 146 x 2 + 1
= 293
Answer(s): (a) 19; (b) 35; (c) 293