Find the common ratio of the geometric sequence. 10,-70,490,ldots Show your work here Enter your answer

To find the common ratio of a geometric sequence, we need to divide any term in the sequence by the previous term.<br /><br />Let's take the second term (-70) and divide it by the first term (10):<br /><br />\[<br />\frac{-70}{10} = -7<br />\]<br /><br />Now, let's verify this by checking the ratio between the third term (490) and the second term (-70):<br /><br />\[<br />\frac{490}{-70} = -7<br />\]<br /><br />Since both calculations give us the same result, we can conclude that the common ratio of the geometric sequence is:<br /><br />\[<br />\boxed{-7}<br />\]