Question

Use inductive reasoning to predict the next number in the list.7, 2, 5, 0, 3, -2, 1, ?

Answer 1

Notice that:

`\begin{gathered} 2=7-5, \\ 5=2+3, \\ 0=5-5, \\ 3=0+3, \\ -2=3-5, \\ 1=-2+3. \end{gathered}`

Therefore, to compute the following terms we have to alternate between subtracting 5 and adding 3.

Then, the next number in the list is:

`1-5=-4.`

Answer: -4.