Anna used stars and sticks to make the following patterns.
- How many stars are there in Pattern 7?
- If Anna counted 400 stars, which pattern number had she made?
- How many stars are there in Pattern 94?
(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 7
= (7 + 1)
2
= 8
2= 8 x 8
= 64
(b)
(Pattern number + 1)
2 = 400
(Pattern number + 1) = √400 = 20
Pattern number = 20 - 1 = 19
(b)
Number of stars in Pattern 94
= (94 + 1)
2 = 95
2
= 95 x 95
= 9025
Answer(s): (a) 64; (b) 19; (c) 9025
