Sebastian writes the recursive formula f of open paren x plus 1 close paren is equal to 4 f x to represent a geometric sequence whose second term is 12 Which explicit formula can be used to model the same sequence?

The recursive rule shows that each term is 4 times the previous term, so the common ratio is 4. Since the second term is 12, the first term is 12 ÷ 4 = 3. A geometric sequence with first term 3 and common ratio 4 is modeled by f(x) = 3 × 4^(x − 1), which is choice A.

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