The given sequence is: 3, -6, 12, -24, ...

This appears to be a geometric sequence, where each term is obtained by multiplying the previous term by a constant ratio.

To find the common ratio $r$, divide the second term by the first term: $r = \frac{-6}{3} = -2$ Thus, the common ratio $r = -2$.

The formula for the $n$-th term of a geometric sequence is: $a_n = a_1 \cdot r^{n-1}$ where $a_1$ is the first term, and $r$ is the common ratio.

For the 6th term $a_6$: $a_6 = 3 \cdot (-2)^{6-1} = 3 \cdot (-2)^5 = 3 \cdot (-32) = -96$

So, the 6th term of the sequence is -96.

Would you like further details or have any questions?

Here are 5 related questions:

1. How do you find the sum of a geometric sequence?
2. What is the general formula for the sum of the first $n$ terms of a geometric series?
3. How does the behavior of a geometric sequence change when the common ratio is less than 1?
4. What is the significance of the common ratio in a geometric sequence?
5. Can a geometric sequence have a positive common ratio but alternating signs?

Tip: Always double-check the common ratio when working with sequences to ensure accurate term predictions!