Answer:
an = 52(1.06)^(n-1).
Step-by-step explanation:
After 6 years there are 70 and after 8 years there are 79 so the common ratio can be calculated:
After 6 years : a6 = a1 r^(6 - 1) = a1 r^5 and after 8 it is a1 r^(7) where a1 is the number of raccoons in year 1.
So we have a1 r^7 / a1 r^5
= r^2 = 79/70
r = 1.06 to the nearest hundredth.
To find the number in year 1 we have:
a1 (1.06)^5 = 70
a1 = 70 / (1.06)^5
a1 = 52 raccoons.
So an = 52(1.06)^(n-1).
