Question

What is the recursive formula for the geometric sequence with this explicit formula?

Answer 1

For the given geometric sequence, we have:

$a_1 = 9\\\\a_n = (-1/3)*a_{n-1}$

So the correct option is B.

Which is the recursive formula?

Here we have the geometric sequence:

$a_n = 9*(-\frac{1}{3} )^{(n - 1)}$

To get the initial value of the geometric sequence, we just need to replace n by 1, so we get:

$a_1 = 9*(-\frac{1}{3} )*(1 - 1) = 9$

Now, notice that the common ratio is (-1/3), this means that each term of the sequence is (-1/3) times the previous term.

$a_n = (-1/3)*a_{n-1}$

Then the correct option is B.

If you want to learn more about geometric sequences:

brainly.com/question/1509142

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