Each pattern is made up of squares. By considering the pattern, give the number of squares in
- Pattern 5
- Pattern 19
- Pattern 245
(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 19
= 19 x 2 + 1
= 39
(c)
Number of squares in Pattern 245
= 245 x 2 + 1
= 491
Answer(s): (a) 11; (b) 39; (c) 491
