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The image shows a question asking to find the 13th term of the sequence:

1, 9, 17, 25, 33, ...

This is an arithmetic sequence where the first term \( a_1 = 1 \) and the common difference \( d = 8 \) (since \( 9 - 1 = 8 \)).

The general formula for the \(n\)-th term \(a_n\) of an arithmetic sequence is:

\[
a_n = a_1 + (n - 1) \cdot d
\]

Now let's find the 13th term (\(n = 13\)):

\[
a_{13} = 1 + (13 - 1) \cdot 8
\]
\[
a_{13} = 1 + 12 \cdot 8
\]
\[
a_{13} = 1 + 96 = 97
\]

Thus, the 13th term is \( \boxed{97} \).

Would you like more details or explanations?

Here are 5 related questions to expand on this concept:

1. What is the 20th term of this arithmetic sequence?
2. How do you find the sum of the first 13 terms of this sequence?
3. What happens if the common difference changes in an arithmetic sequence?
4. Can you express this arithmetic sequence in a recursive form?
5. How do arithmetic sequences apply in real-world situations?

**Tip**: Always check the common difference in arithmetic sequences to ensure you're using the correct pattern for finding terms!

Find the 13th term of the arithmetic sequence: 1, 9, 17, 25, 33, ...

Learn how to find the 13th term of the arithmetic sequence 1, 9, 17, 25, 33, using the formula for arithmetic sequences. This problem covers key concepts in algebra and arithmetic sequences, suitable for Grades 6-8.

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