Sure, here are five arithmetic sequence problems:

1. **Find the 10th term**: The first term of an arithmetic sequence is 3, and the common difference is 5. Find the 10th term.

2. **Sum of the first 15 terms**: In an arithmetic sequence, the first term is 7 and the common difference is 4. Find the sum of the first 15 terms.

3. **Determine the common difference**: If the 5th term of an arithmetic sequence is 20 and the 10th term is 35, find the common difference.

4. **Number of terms**: The first term of an arithmetic sequence is 2, and the common difference is 3. If the last term of the sequence is 50, how many terms are in the sequence?

5. **Insert arithmetic means**: Insert three arithmetic means between 4 and 20.

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Here are 8 relative questions for further practice:
1. Find the 12th term of an arithmetic sequence where the first term is 6 and the common difference is 2.
2. What is the sum of the first 20 terms of an arithmetic sequence with the first term 5 and the common difference 3?
3. If the 3rd term of an arithmetic sequence is 15 and the 8th term is 35, what is the first term and the common difference?
4. Determine the 25th term of an arithmetic sequence if the first term is -4 and the common difference is 7.
5. Find the sum of all terms in an arithmetic sequence from the first term 1 to the 50th term, with a common difference of 2.
6. How many terms are in an arithmetic sequence if the first term is 10, the common difference is 5, and the last term is 100?
7. Insert four arithmetic means between 2 and 22.
8. If the first term of an arithmetic sequence is 9 and the common difference is -3, find the 15th term.

**Tip**: In an arithmetic sequence, any term can be found using the formula \( a_n = a_1 + (n-1)d \), where \( a_n \) is the nth term, \( a_1 \) is the first term, and \( d \) is the common difference.

Explore 5 arithmetic sequence problems with detailed solutions. Topics include finding terms, sums, common differences, and inserting arithmetic means. Suitable for students in Grades 9-12.

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