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?

A. 48 bulbs
B. 384 bulbs
C. 768 bulbs
D. 1,536 bulbs

I'm thinking it's A.

Answer 1

every year it multiplies by 2
48 would be the FOURTH year
a = 6
r = 2
https://www.mathsisfun.com/algebra/sequences-sums-geometric.html

Answer 2

Bulbs = 2^n * 3. n = the number of years.
1st year: 2^1 * 3 = 6 bulbs.
2nd year: 2^2 * 3 = 12 bulbs.
3rd year: 2^3 * 3 = 24 bulbs.
8th year: 2^8 * 3 = 768 bulbs.