Question

Which explicit formula can be used to find the number of rabbits in the nth generation ?

Answer 1

Answer:

A. an = 3(6)^(n-1)

Step-by-step explanation:

1st generation: n = 1:

a1 = 3*6^(1-1) = 3*6^0

= 3

n = 2:

a2 = 3*6^2-1

= 3*6

=18

n = 3

a3 = 3*6^(3-1)

= 3*6^2

= 106.

Answer 2

Answer:

A

Step-by-step explanation:

Let's check

The formula is 3 *6^(n-1)

The first generation had 3 rabbits

3*6(1-1) = 3*6^0 = 3*1 =3

That works

Try it again with the 2nd generation

n is the number of generation

3*6^(2-1)= 3*6^1 = 18

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We can deduce the formula

The initial number of rabbits is 3

Each time we multiply by 6

So for the generation number n the formula will be :

3*6^(last generation-first generation)

3*6^(n-1)