In the 1st generation, there are 3 rabbits in a meadow. Every generation after that, the rabbit population multiplies by 6. In generation 2 there are 18 rabbits, in generation 3 there are 108 rabbits, and so on. Which explicit formula can be used to find the number of rabbits in the nth generation?
Question
Answer:
a1=3, a2=3*6, a3=3*6*6[tex]a_{n}=a_{1}*6^{n-1} a_{n}=3*6^{n-1} a_{n}= \frac{3*6^{n}}{6} = \frac{6^{n}}{2} a_{n}= \frac{6^{n}}{2} [/tex]
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10 months ago
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