Given the sequence 2, 4, 8, , 16,, where x = 0, 1, 2, 3, what is the function rule? f(x) = 2x + 2 f(x) = 2(2)x f(x) = (2x) f(x) = 2

Option C: is the function rule.

Explanation:

The sequence is

Let us find the common difference of this sequence.

Common ratio =

Hence,

Thus, the given sequence is a geometric progression.

To determine the function rule, let us substitute the values in the general formula of GP which is given by

where

Substituting we get,

Simplifying, we get,

Adding the powers, we get,

Simplifying, we get,

Hence, the function rule is

Thus, Option C is the correct answer.

hope this .

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