7, -7, 7, -7, ... find the common ratio for the geometric sequence.

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# Explanation:
## Step1: Recall the formula for the common ratio $ r $ in a geometric sequence, which is $ r=\frac{a_{n + 1}}{a_{n}} $, where $ a_{n+1} $ is the next term and $ a_{n} $ is the current term.
## Step2: Take the first two terms of the sequence, $ a_1 = 7 $ and $ a_2=-7 $. Calculate the ratio: $ r=\frac{-7}{7}=-1 $. We can verify with the next pair of terms, $ a_2=-7 $ and $ a_3 = 7 $, $ r=\frac{7}{-7}=-1 $, and so on. So the common ratio is -1.
# Answer:
-1

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Explanation:

Step1: Recall the formula for the common ratio \( r \) in a geometric sequence, which is \( r=\frac{a_{n + 1}}{a_{n}} \), where \( a_{n+1} \) is the next term and \( a_{n} \) is the current term.

Step2: Take the first two terms of the sequence, \( a_1 = 7 \) and \( a_2=-7 \). Calculate the ratio: \( r=\frac{-7}{7}=-1 \). We can verify with the next pair of terms, \( a_2=-7 \) and \( a_3 = 7 \), \( r=\frac{7}{-7}=-1 \), and so on. So the common ratio is -1.

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