Math  /  Word Problems

QuestionFind the explicit formula for the number of rabbits in generation nn if there are 108 rabbits in generation 3: an=63(n1)a_{n}=6 \cdot 3^{(n-1)}.

Studdy Solution
We can substitute the given values into the formula. The first term a1a_{1} is6 (the number of rabbits in the first generation), and the common ratio rr is3 (the number of rabbits triples in each generation).
an=63(n1)a_{n} =6 \cdot3^{(n-1)}This is the explicit formula that can be used to find the number of rabbits in the nth generation.

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