The growth of a local raccoon population approximates a geometric sequence where an is the number of raccoons in a given year and n is the year. after 6 years there are 45 raccoons and after 8 years there are 71 raccoons.

 GENERAL EXPLICIT SEQUENCE IS GIVEN  

Step-by-step explanation:

Let n be the number of year the data is recorded in.

a: The number of raccoons taken initially.

r: The multiplying factor

 : The number of raccoon in the nth year.

As given:  

Now, as the given situation can be expressed as GEOMETRIC SERIES:

Applying the same to given terms, we get:

Dividing both equations, we get:

So, the first term

So, the GENERAL EXPLICIT SEQUENCE IS GIVEN as:  

first one because it can't have a fraction in it

step-by-step explanation: