Geoff planted dahlias in his garden. Dahlias have bulbs that divide and reproduce underground. In the first year, Geoff’s garden produced 6 bulbs. In the second year, it produced 12 bulbs, and in the third year, it produced 24 bulbs. If this pattern continues, how many bulbs should Geoff expect in the eighth year? (1 point)

Question

Geoff planted dahlias in his garden. Dahlias have bulbs that divide and reproduce underground. In the first year, Geoff’s garden produced 6 bulbs. In the second year, it produced 12 bulbs, and in the third year, it produced 24 bulbs. If this pattern continues, how many bulbs should Geoff expect in the eighth year? (1 point)

48 bulbs
384 bulbs
768 bulbs
1,536 bulbs

Answer 1

By observing the pattern, we can see that the number of bulbs doubles each year.

1st year: 6 bulbs
2nd year: 6 bulbs * 2 = 12 bulbs
3rd year: 12 bulbs * 2 = 24 bulbs

Continuing the pattern:
4th year: 24 bulbs * 2 = 48 bulbs
5th year: 48 bulbs * 2 = 96 bulbs
6th year: 96 bulbs * 2 = 192 bulbs
7th year: 192 bulbs * 2 = 384 bulbs
8th year: 384 bulbs * 2 = 768 bulbs

Therefore, Geoff should expect 768 bulbs in the eighth year.