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?
Let x---------------> number of bulbs produced per year n--------------> number of years we know that the pattern can be modeled through the following equation x=6*[2^(n-1)]
for n=1 year x=6*[2^(1-1)]----------> 6 bulbs
for n=2 year x=6*[2^(2-1)]----------> 12 bulbs
for n=3 year x=6*[2^(3-1)]----------> 24 bulbs
for n=8 year x=6*[2^(8-1)]----------> 6*128=768 bulbs
