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The image contains a math problem asking to find the "nth" term of each arithmetic sequence. There are five sequences provided, and the specific terms to be found are:

1. Sequence: 2, 5, 8, ... (Find the 97th term)
2. Sequence: 3, 5, 7, ... (Find the 200th term)
3. Sequence: 1, 12, 0, ... (Find the 16th term)
4. Sequence: 5, 11, 17, ... (Find the 99th term)
5. Sequence: 26, 22, 18, ... (Find the 40th term)

### Solution Approach:

The general formula for the nth term of an arithmetic sequence is:
\[
a_n = a_1 + (n-1) \times d
\]
Where:
- \(a_n\) is the nth term,
- \(a_1\) is the first term,
- \(d\) is the common difference,
- \(n\) is the term number.

Let's solve each sequence:

### 1. Sequence: 2, 5, 8, ...
- **First term (\(a_1\))**: 2
- **Common difference (\(d\))**: \(5 - 2 = 3\)
- **Term to find**: 97th term

\[
a_{97} = 2 + (97-1) \times 3 = 2 + 96 \times 3 = 2 + 288 = 290
\]

### 2. Sequence: 3, 5, 7, ...
- **First term (\(a_1\))**: 3
- **Common difference (\(d\))**: \(5 - 3 = 2\)
- **Term to find**: 200th term

\[
a_{200} = 3 + (200-1) \times 2 = 3 + 199 \times 2 = 3 + 398 = 401
\]

### 3. Sequence: 1, 12, 0, ...
- **First term (\(a_1\))**: 1
- **Common difference (\(d\))**: \(12 - 1 = 11\)
- **Term to find**: 16th term

\[
a_{16} = 1 + (16-1) \times 11 = 1 + 15 \times 11 = 1 + 165 = 166
\]

### 4. Sequence: 5, 11, 17, ...
- **First term (\(a_1\))**: 5
- **Common difference (\(d\))**: \(11 - 5 = 6\)
- **Term to find**: 99th term

\[
a_{99} = 5 + (99-1) \times 6 = 5 + 98 \times 6 = 5 + 588 = 593
\]

### 5. Sequence: 26, 22, 18, ...
- **First term (\(a_1\))**: 26
- **Common difference (\(d\))**: \(22 - 26 = -4\)
- **Term to find**: 40th term

\[
a_{40} = 26 + (40-1) \times (-4) = 26 + 39 \times (-4) = 26 - 156 = -130
\]

### Final Answers:
1. 97th term: **290**
2. 200th term: **401**
3. 16th term: **166**
4. 99th term: **593**
5. 40th term: **-130**

Would you like further details or have any questions about this solution?

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### Related Questions:
1. How do you find the common difference in an arithmetic sequence?
2. What is the sum of the first n terms of an arithmetic sequence?
3. How do you derive the formula for the nth term of an arithmetic sequence?
4. Can arithmetic sequences have a negative common difference?
5. What happens if the common difference in an arithmetic sequence is zero?
6. How does an arithmetic sequence differ from a geometric sequence?
7. Can the terms of an arithmetic sequence be fractions or decimals?
8. How would you solve for the 0th term in an arithmetic sequence?

### Tip:
When solving arithmetic sequences, always double-check your common difference \(d\) to ensure accuracy throughout your calculations.

Learn how to find the nth term of arithmetic sequences with detailed solutions. This problem covers multiple arithmetic sequences, each requiring calculation of specific terms using the formula for the nth term. Suitable for students in Grades 7-9.

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