In the 1st generation, there are 6 squirrels in a forest. every generation after that, the squirrel population multiplies by 4. in generation 2 there are 24 squirrels, in generation 3 there are 96 squirrels, and so on. which explicit formula can be used to find the number of squirrels in the nth generation?

The appropriate choice is

... B. an = 6·4^(n-1)

The general term of a geometric sequence with first term a1 and common ratio r is given by

... an = a1·r^(n-1)

Your sequence has a1=6 and r=4. The answer above is the result of substituting the given numbers for the corresponding variables in the general formula.

Option B is correct.i.e., No of squirrels in nth generation

Step-by-step explanation:

Given:

No of squirrels in 1st Generation = 6

No of squirrels in 2nd generation = 24

No of squirrels in 3rd generation = 96

Option A).

No of squirrels in nth generation

From formula,

No of squirrels in 1st generation

So, This option is wrong.

Option B).

No of squirrels in nth generation

From formula,

No of squirrels in 1st generation

No of squirrels in 2nd generation

No of squirrels in 3rd generation

So, This option is correct.

Therefore, Option B is correct.i.e., No of squirrels in nth generation

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step-by-step explanation: