Find the common ratio of the geometric sequence. -10,5,-(5)/(2),ldots Show your work here Enter square

To find the common ratio of the geometric sequence, we need to divide any term in the sequence by the previous term.<br /><br />Let's take the second term and divide it by the first term:<br />$\frac{5}{-10} = -\frac{1}{2}$<br /><br />Now let's take the third term and divide it by the second term:<br />$\frac{-\frac{5}{2}}{5} = -\frac{1}{2}$<br /><br />Since the ratio is the same for both pairs of consecutive terms, we can conclude that the common ratio of the geometric sequence is $\boxed{-\frac{1}{2}}$.