The formula for the $n$-th term of an arithmetic sequence is:

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

Where:

• $a_n$ is the $n$-th term,
• $a_1$ is the first term of the sequence,
• $d$ is the common difference between consecutive terms,
• $n$ is the term number.

Would you like more details or examples about this formula?

Here are five related questions:

1. How do you find the common difference $d$ in an arithmetic sequence?
2. Can you derive the formula for the sum of the first $n$ terms of an arithmetic sequence?
3. How is an arithmetic sequence different from a geometric sequence?
4. How do you determine whether a given sequence is arithmetic?
5. What happens if the common difference $d$ is negative?

Tip: In an arithmetic sequence, the common difference $d$ remains constant throughout the sequence.