7) -25,-18,-11,-4,ldots Geometric: Yes or No (circle your choice) If geometric, what is r?

To determine if the sequence is geometric, we need to check if there is a constant ratio between consecutive terms. A geometric sequence has the form:<br /><br />\[ a, ar, ar^2, ar^3, \ldots \]<br /><br />where \(a\) is the first term and \(r\) is the common ratio.<br /><br />Given sequence: \(-25, -18, -11, -4, \ldots\)<br /><br />Let's find the ratio between consecutive terms:<br /><br />\[<br />\frac{-18}{-25} = \frac{18}{25} = 0.72<br />\]<br /><br />\[<br />\frac{-11}{-18} = \frac{11}{18} \approx 0.611<br />\]<br /><br />\[<br />\frac{-4}{-11} = \frac{4}{11} \approx 0.364<br />\]<br /><br />Since the ratios between consecutive terms are not constant, the sequence is not geometric.<br /><br />Therefore, the answer is:<br /><br />Geometric: No