Answer:
-15.875
Step-by-step explanation:
First, we can sum up the first 5 terms.
-8 + (-4) = -12
-12 + (-2) = -14
-14 + (-1) = -15
-15 + (-1/2) = -15.5
Next, we can find a pattern in the data. We can tell that the next number is one half of the current number. For example, -4 is one half of -8. To find the next number, we simply multiply our current number by one half. Thus, the sixth number is -1/4 and the seventh is -1/8. Adding these to our current total, we have
-15.5 - 1/4 = -15.75
-15.5 - 1/8 = -15.875 as our answer