Let's analyze the sequence: 2, 10, 18, ...

Step 1: Check if it's Arithmetic

For an arithmetic sequence, the difference between consecutive terms should be constant.

• Difference between the second term and the first term: $10 - 2 = 8$

• Difference between the third term and the second term: $18 - 10 = 8$

Since the difference between consecutive terms is constant (8), this is an arithmetic sequence.

Step 2: Common Difference

The common difference $d$ is: $d = 8$

Thus, the sequence is arithmetic with a common difference of $8$.

Would you like more details or have any other questions?

Here are 5 related questions to expand your understanding:

1. How can you express the $n$-th term of an arithmetic sequence?
2. How would the sequence change if the common difference were negative?
3. What is the sum of the first $n$ terms of an arithmetic sequence?
4. Can an arithmetic sequence ever become geometric? Why or why not?
5. How would you graph the terms of an arithmetic sequence?

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