Answer:
Therefore, the predicted next term of the sequence is 130.
Explanation:
To construct a difference table, we subtract each term in the sequence from the next term.
Here is the difference table for the given sequence:
| 8 | 3 | 2 | 11 | 36 | 83 |
| --- | ---- | ---- | ---- | ---- | ---- |
| 5 | -1 | 9 | 25 | 47 | |
| -6 | 10 | 16 | 22 | | |
| 16 | 6 | 6 | | | |
| -10 | 0 | | | | |
To predict the next term of the sequence, we look at the last value in the first row of the difference table. In this case, the last value is 47.
To find the next term in the sequence, we add this value to the last term in the sequence: 83 + 47 = 130.
Therefore, the predicted next term of the sequence is 130.