Problem
The frut torete terms of an arthmetic sequence are as follows. \[ -2,3,-8 \] Find the nert tan terms of this sequence.
Solution
Step 1 ：The given sequence is an arithmetic sequence. In an arithmetic sequence, the difference between any two successive terms is constant. This constant difference is also known as the common difference.
Step 2 ：To find the common difference, we subtract the first term from the second term.
Step 3 ：Once we have the common difference, we can find the next terms by adding the common difference to the last known term.
Step 4 ：The next ten terms of the sequence are \(-3, 2, 7, 12, 17, 22, 27, 32, 37, 42\).
Step 5 ：Final Answer: The next ten terms of the sequence are \(\boxed{-3, 2, 7, 12, 17, 22, 27, 32, 37, 42}\).
