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The image provided contains a mathematical problem related to finding the specific terms in a sequence. I will transcribe and solve the problem below.

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**Problem:**
Given the equation of the arithmetic sequence \( a_n = 3n + 2 \), find the 15th and 25th terms of the sequence.

**Solution:**
To find the nth term of the sequence, we use the formula provided:
\[
a_n = 3n + 2
\]

1. **15th Term:**
   \[
   a_{15} = 3(15) + 2 = 45 + 2 = 47
   \]
   So, the 15th term is 47.

2. **25th Term:**
   \[
   a_{25} = 3(25) + 2 = 75 + 2 = 77
   \]
   So, the 25th term is 77.

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Would you like more details or have any questions on this? Here are some additional questions for you to consider:

1. What is the first term of the sequence \(a_n = 3n + 2\)?
2. How can we derive the common difference in the arithmetic sequence \(a_n = 3n + 2\)?
3. What is the sum of the first 15 terms of the sequence?
4. If the nth term is 80, what is the value of \(n\)?
5. How would the sequence change if the formula was \(a_n = 3n - 2\)?

**Tip:** In an arithmetic sequence, the common difference can be identified by subtracting any two consecutive terms.

Given the equation of the arithmetic sequence a_n = 3n + 2, find the 15th and 25th terms of the sequence.

Learn how to find the 15th and 25th terms of the arithmetic sequence given by the formula a_n = 3n + 2. This problem involves key concepts in arithmetic sequences and linear functions, making it suitable for students in Grades 6-8.

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