Question

Use inductive reasoning to predict the next three numbers in the pattern3, -12, 48, -192____

Answer 1

Notice that there is a common ratio of -4 between the numbers of the sequence:

`\begin{gathered} 3*-4=-12 \\ -12*-4=48 \\ 48*-4=-192 \end{gathered}`

Use the same method to predict the next three numbers:

`\begin{gathered} -192*-4=768 \\ 768*-4=-3072 \\ -3072*-4=12,288 \end{gathered}`

Therefore, the next three numbers, are:

`768,-3072,12288`