Final answer:
The recursive formula for the given geometric sequence gn = -3 × 2^n-1 is represented by B. g2 = g1 × 2, defining each term as the previous one multiplied by the common ratio, which is 2.
Step-by-step explanation:
The recursive formula for a geometric sequence defines each term based on the previous term and a common ratio. For the given sequence gn = -3 × 2n-1, the first term (g1) is -3, and each subsequent term is the previous term multiplied by the common ratio 2.
Therefore, the recursive formula can be expressed as gn = gn-1 × 2 for n > 1. The correct answer from the options provided is B. g2 = g1 × 2.