Math  /  Word Problems

QuestionFind the formula for rabbit population in the nnth generation if it starts with 3 and multiplies by 6 each generation. A. an=63(n1)a_{n}=6 \cdot 3^{(n-1)} B. an=3(16)(n1)a_{n}=3 \cdot\left(\frac{1}{6}\right)^{(n-1)} C. an=6(13)(n1)a_{n}=6 \cdot\left(\frac{1}{3}\right)^{(n-1)} D. an=36(n1)a_{n}=3 \cdot 6^{(n-1)}

Studdy Solution
Now, let's compare our formula with the given options. We can see that our formula matches with option D.
So, the explicit formula to find the number of rabbits in the nnth generation is an=36(n1)a_{n} =3 \cdot6^{(n-1)}.

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