Algebra 1: Common Core (15th Edition)

The next two terms are $48$ and$-96$
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: $48\times -2= -96$