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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).

step-by-step explanation:

add 8+12 to get a simplified answer of 12r-20