Jake has proved that a function, f(x), is a geometric sequence. How did he prove that? He showed that an explicit formula could be created. He showed that a recursive formula could be created. He showed that f(n) ÷ f(n − 1) was a constant ratio. He showed that f(n) − f(n − 1) was a constant difference.

The characteristic of a geometric progression is that the ratio of a term and its consecutive term remains the same. Thus, if he can show that f(n)/f(n-1) remains constant, he can prove f(x) to be a geometric progression.

The third option is correct.

Hope this helps :)

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step-by-step explanation:

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