Question

1. \\(972, 324, 108, 36, \dots\\)

first, identify each term in the sequence. for this sequence,
\\f(1) = 972, f(2) = 324, f(3) = 108, \text{ and } f(4) = 36.\\

then, find the common ratio \\(r\\).
\
= \frac{\quad}{\quad} = \quad\\

lastly, use \\(f(n) = f(n-1) \cdot r\\) with

Explanation:

Identify terms in the sequence

$$
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Calculate the common ratio

$$ r = \frac{f(2)}{f(1)} = \frac{324}{972} = \frac{1}{3} $$

Answer:

First, identify each term in the sequence. For this sequence,
\(f(1) =\) <blank>972</blank>, \(f(2) =\) <blank>324</blank>, \(f(3) =\) <blank>108</blank>, and \(f(4) =\) <blank>36</blank>.

Then, find the common ratio \(r\).
\(r =\) <blank>\(\frac{324}{972}\)</blank> \(=\) <blank>\(\frac{1}{3}\)</blank>