Question

In the 1st generation, there are 3 rabbits in a meadow.

Answer 1

Answer: I think the answer is C.

Step-by-step explanation:I don't really know how to explain but I think that's correct.

Answer 2

Answer: Option C

`a_n=3(6)^(n-1)`

Explanation:

The number of rabbits in each generation can be modeled using a geometric sequence of the form:

`a_n=a_1(r)^(n-1)`

Where
`a_1` is the first term of the sequence,
`a_n` is the ninth term of the series, r is the common ratio

To find the proportion we divide the consecutive terms of the sequence as shown

`(18)/(3)=6\\\\(108)/(18)=6`

Then the common ratio is:
`r=6`

The first term of the series is:
`a_1=3`

Then the explicit formula is:

`a_n=3(6)^(n-1)`

The answer is: Option C