Lucy used stars and sticks to make the following patterns.
- How many stars are there in Pattern 5?
- If Lucy counted 196 stars, which pattern number had she made?
- How many stars are there in Pattern 88?
(a)
Number of stars
Pattern 1: 4 = (1 + 1)
2
Pattern 2: 9 = (2 + 1)
2Pattern 3: 16 = (3 + 1)
2Formula:
Number of stars = (Pattern number + 1)
2 Number of stars in Pattern 5
= (5 + 1)
2
= 6
2= 6 x 6
= 36
(b)
(Pattern number + 1)
2 = 196
(Pattern number + 1) = √196 = 14
Pattern number = 14 - 1 = 13
(b)
Number of stars in Pattern 88
= (88 + 1)
2 = 89
2
= 89 x 89
= 7921
Answer(s): (a) 36; (b) 13; (c) 7921
