Question

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

Answer 1

The recursive formula for the geometric sequence is given as follows:

D.

• $a_1 = 9$.

• $a_n = a_{n-1} \times \left(-\frac{1}{3}\right)$

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

$a_n = a_1q^{n-1}$

In which $a_1$ is the first term.

With a recursive formula, it is given by:

$a_n = a_{n-1} \times q$

For this problem, the first term and the common ratio are:

$a_1 = 9, q = -\frac{1}{3}$

Then the recursive formula is:

D.

• $a_1 = 9$.

• $a_n = a_{n-1} \times \left(-\frac{1}{3}\right)$

More can be learned about geometric sequences at brainly.com/question/11847927

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