Choose the correct description of the set A={5,10,15,20,…}

The set \( A = \{5, 10, 15, 20, \dots\} \) is an **arithmetic sequence** or **arithmetic progression** where each term increases by a constant difference. Here's a correct description:

- **Set \( A \) is the set of all positive multiples of 5.**

To elaborate:
- The first term of the sequence is 5.
- The common difference between consecutive terms is 5.
- Mathematically, the \( n \)-th term of the set \( A \) can be described as \( a_n = 5n \), where \( n \) is a positive integer.

Would you like more details or have any questions?

Here are 5 related questions:
1. What is the 10th term of the set \( A = \{5, 10, 15, 20, \dots\} \)?
2. How can you find the sum of the first 20 terms in this set?
3. What would the set \( A \) look like if the common difference were 3 instead of 5?
4. Is the set \( A = \{5, 10, 15, 20, \dots\} \) finite or infinite?
5. How do you express the general term of an arithmetic sequence?

**Tip:** In an arithmetic sequence, the difference between any two consecutive terms is always the same, which is called the "common difference."

Explore the set A={5, 10, 15, 20, …}, which forms an arithmetic sequence where each term increases by a constant difference of 5. Learn about the general term of an arithmetic sequence and how to identify arithmetic sequences in mathematics. Suitable for students in Grades 7-9.

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