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A geometric sequence has the explicit formula an = 13 • (-2)^n-1. What is the recursive formula?

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Final answer:

The recursive formula for the given geometric sequence is an = an-1 / (-2).

Step-by-step explanation:

The recursive formula for a geometric sequence is given by:

an = an-1 * r

where an is the nth term and r is the common ratio.

In this case, the explicit formula is an = 13 * (-2)^(n-1).

To find the recursive formula, we need to express the explicit formula in the form an = an-1 * r.

Let's divide both sides of the equation by -2 to isolate the term an-1:

an / (-2) = an-1

Therefore, the recursive formula is an = an-1 / (-2).

User Nilsburg
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