Answer
The next two terms are $48$ and$-96$
Work Step by Step
We are given the sequence as:
3, -6, 12, -24, ...
We need to find the pattern of this sequence.
In order to get this we have to divide consecutive terms in the sequence.
2nd term and 1st term: $\frac{-6}{3} = -2$
3rd term and 2nd term: $\frac{12}{-6} = -2$
4th term and 3rd term: $\frac{-24}{12}=-2$
Then, we use this pattern to get the next two terms of the sequence:
5th term: $-24 \times -2 = 48$
6th term: $48\times -2= -96$
