Final answer:
The 12th term of the geometric sequence 10, -50, 250 is -976,562,500.
Step-by-step explanation:
To find the 12th term of a geometric sequence, we can use the formula: an = a1 * rn-1.
In this formula, an represents the nth term, a1 is the first term, and r is the common ratio.
In this case, the first term is 10 and the common ratio is -5. Substituting these values into the formula, we get:
a12 = 10 * (-5)12-1.
Simplifying this expression, we get: a12 = 10 * (-5)11.
Calculating this expression, we find that the 12th term of the geometric sequence 10, -50, 250 is -976,562,500.