what is the common ratio of the geometric series below?
24 + (-8) + 8/3 + (-8/9) +...
The common ratio of a geometric series can be found by dividing any term by the previous term.
In this case, dividing each term by the previous term:
(-8/24) = -1/3
(8/(-8)) = -1
(-8/3)/(8/(-8)) = 1/3
((8/3)/(-8/3)) = -1
As we can see, the ratio alternates between -1/3 and 1/3. Therefore, the common ratio of the geometric series is -1/3.