Tammy used stars and sticks to make the following patterns.
- How many stars are there in Pattern 10?
- If Tammy counted 361 stars, which pattern number had she made?
- How many stars are there in Pattern 66?
(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 10
= (10 + 1)
2
= 11
2= 11 x 11
= 121
(b)
(Pattern number + 1)
2 = 361
(Pattern number + 1) = √361 = 19
Pattern number = 19 - 1 = 18
(b)
Number of stars in Pattern 66
= (66 + 1)
2 = 67
2
= 67 x 67
= 4489
Answer(s): (a) 121; (b) 18; (c) 4489
