A town has a population of 12,000 and grows at 5% every year what will the population after 12 years be to the nearest whole number

Part A: Geometric Sequence

Part B:

Part C: a₈ = 512

Step-by-step explanation:

When we find the common ratio between the y-values (x-values are n inputs), we should see that we get r = 2. That means we have a geometric sequence.

Because we have a geometric sequence, our recursive formula is: . Simply plug in our known variables:

Now we need to find what y is when x = 8, so (I used explicit formula):

a₈ = 512