The sequence given is $0, 1, 2, 9, 8$. To find the 10th term, let's look for a pattern or formula.

First, observe the terms:

• The 1st, 2nd, and 3rd terms are $0, 1, 2$.
• The 4th and 5th terms are $9$ and $8$.

There appears to be two different patterns: the first three terms increase by 1, and the next two terms are 9 and 8. The key is to determine if this pattern repeats.

To determine the pattern, consider checking:

1. If the sequence repeats every 5 terms.
2. If the sequence involves simple arithmetic progressions or other operations.

Given the sequence 0, 1, 2, 9, 8:

• 1st term (0)
• 2nd term (1)
• 3rd term (2)
• 4th term (9)
• 5th term (8)

If the sequence repeats every 5 terms, the 10th term would be the same as the 5th term.

To verify, calculate $10 \div 5 = 2$, remainder 0, indicating the sequence completes exactly two full cycles by the 10th term. Thus, the 10th term is the same as the 5th term.

Conclusion: The 10th term of the sequence is $8$.

Would you like a detailed explanation or have any questions?

Here are some related questions:

1. What is the general term formula for this sequence?
2. How does identifying the repeating pattern help in sequences?
3. Can this sequence be represented as a function?
4. What are the properties of arithmetic and geometric sequences?
5. How can one determine if a sequence is arithmetic or geometric?
6. What other types of sequences exist in mathematics?
7. How do you find the sum of the first $n$ terms in a sequence?
8. How does understanding sequences apply to real-world situations?

Tip: When identifying patterns in sequences, consider if the pattern could be arithmetic, geometric, or follow another recognizable rule. This can simplify finding terms further along in the sequence.