Answer: The 12th term is -0.0003125.
Step-by-step explanation: The geometric sequence can be written as:
-2/8, -10/10, -50/12, ..., -2x^8, -10x^10, -50x^12, ...
The common ratio, r, is found by dividing any term by its preceding term:
r = (-10/10) / (-2/8) = 4/5
So, the 12th term is:
a12 = a1 * r^(n-1)
= (-2/8) * (4/5)^(12-1)
= (-2/8) * (4/5)^11
= -0.0003125