The table below represents a geometric sequence. determine the recursive function that defines the sequence. a. f(1) = 4, f(n) = 16 · f(n - 1), for n ≥ 2 b. f(1) = 5, f(n) = 4 · f(n - 1), for n ≥ 2 c. f(1) = 4, f(n) = 5 · f(n - 1), for n ≥ 2 d. f(1) = 1, f(n) = 10 · f(n - 1), for n ≥ 2

B. f(1)=4

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Step-by-step explanation:

From the table the first term of the geometric sequence is:

We can use the first term and the second term to determine the common rtaio.

The common ratio is

Note that, we could have also used the 3rd and second term to find the common ratio.

The recursive formula is given by:

We plug in the common ratio to get:

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step-by-step explanation: