Question Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 72,12,2,ldots Answer Attempt 2out of 2 This is square sequence and the square is equal to square

## Step 1: Check for Arithmetic Sequence<br />### To determine if the sequence is arithmetic, we check if there's a common difference between consecutive terms. The difference between the second term (12) and the first term (72) is $12 - 72 = -60$. The difference between the third term (2) and the second term (12) is $2 - 12 = -10$. Since the differences are not equal, the sequence is not arithmetic.<br /><br />## Step 2: Check for Geometric Sequence<br />### To determine if the sequence is geometric, we check if there's a common ratio between consecutive terms. The ratio of the second term (12) to the first term (72) is $\frac{12}{72} = \frac{1}{6}$. The ratio of the third term (2) to the second term (12) is $\frac{2}{12} = \frac{1}{6}$. Since the ratios are equal, the sequence is geometric.