Answer:
To determine whether a sequence is arithmetic or geometric, we can examine the ratios between consecutive terms.
The given sequence is 72, 12, 2.
Let's check the ratios:
1. \( \frac{12}{72} = \frac{1}{6} \)
2. \( \frac{2}{12} = \frac{1}{6} \)
The ratios between consecutive terms are the same, and they are \( \frac{1}{6} \).
Since the ratios are constant, the sequence is geometric.
Now, let's determine the common ratio:
The common ratio (\(r\)) is the factor by which each term is multiplied to get the next term.
In this case, \(r = \frac{1}{6}\).
So, the sequence is geometric with a common ratio of 1/6 simplest form.
Step-by-step explanation:
