Question

find the common ratio r for the geometric sequence and use r to find the next three terms.

1. -5, 20, -80, 320, ...

first, identify each term in the sequence. for this sequence,

\\(f(1) = \box\\), \\(f(2) = \box\\), \\(f(3) = \box\\), and \\(f(4) = \box\\).

Explanation:

Identify the terms of the sequence

$$
LATEXBLOCK0
$$

Calculate the common ratio

$$ r = \frac{f(2)}{f(1)} = \frac{20}{-5} = -4 $$

Find the next three terms

$$
LATEXBLOCK1
$$

Answer:

Find the common ratio \(r\) for the geometric sequence and use \(r\) to find the next three terms.

1. \(-5, 20, -80, 320, \dots\)

First, identify each term in the sequence. For this sequence,
\(f(1) =\) <blank>-5</blank>, \(f(2) =\) <blank>20</blank>, \(f(3) =\) <blank>-80</blank>, and \(f(4) =\) <blank>320</blank>.

The common ratio is \(r =\) <blank>-4</blank>.
The next three terms are <blank>-1280</blank>, <blank>5120</blank>, and <blank>-20480</blank>.