As we know the geometric function is f(n)=f(n-1)r, where r is the rate of change, we can find r. r = -6/3 = -2. Finding the next three numbers of the sequence, 12(-2)=-24, -24(-2)=48, 48(-2)=-96. Therefore, the next three numbers in the geometric sequence 3, -6, 12 is -24, 48, and -96.
