Each pattern is made up of squares. By considering the pattern, give the number of squares in
- Pattern 5
- Pattern 28
- Pattern 420
(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 28
= 28 x 2 + 1
= 57
(c)
Number of squares in Pattern 420
= 420 x 2 + 1
= 841
Answer(s): (a) 11; (b) 57; (c) 841