Use a difference table to predict the next term in the sequence.-2, 2, 12, 28, 50, 78, ____

Sure, let's use a difference table to predict the next term in the sequence.

The sequence is: -2, 2, 12, 28, 50, 78

First, let's find the differences between each pair of numbers:

2 - (-2) = 4 12 - 2 = 10 28 - 12 = 16 50 - 28 = 22 78 - 50 = 28

So, the first difference sequence is: 4, 10, 16, 22, 28

Let's find the second difference sequence:

10 - 4 = 6 16 - 10 = 6 22 - 16 = 6 28 - 22 = 6

The second difference sequence is: 6, 6, 6, 6

Since the second difference sequence is constant, we can predict the next term in the sequence.

The next term in the first difference sequence would be 28 + 6 = 34

So, the next term in the original sequence would be 78 + 34 = 112

Therefore, the next term in the sequence is 112.