Step-by-step explanation:To determine if the sequence \(-1, 5, -25, 125\) is a geometric sequence, we need to check if the ratio between consecutive terms is constant.1. **Calculate the ratio between the first and second terms:** \[ r_1 = \frac{5}{-1} = -5 \]2. **Calculate the ratio between the second and third terms:** \[ r_2 = \frac{-25}{5} = -5 \]3. **Calculate the ratio between the third and fourth terms:** \[ r_3 = \frac{125}{-25} = -5 \]Since all three ratios are equal to \(-5\), the sequence is indeed a geometric sequence with a common ratio of \(-5\). **Summary:**- The sequence is geometric.- Common ratio \(r = -5\).
Answer:what is the perimeter of the figure rhombus + equilateral triangle