The sequence provided is: 3, 6, 9, 12, 15, 18.

To determine if the sequence is arithmetic, geometric, or neither, we need to check for the following:

• Arithmetic Sequence: The difference between consecutive terms is constant.
• Geometric Sequence: The ratio between consecutive terms is constant.

Checking for Arithmetic:

The difference between consecutive terms is:

• 6 - 3 = 3
• 9 - 6 = 3
• 12 - 9 = 3
• 15 - 12 = 3
• 18 - 15 = 3

Since the difference between consecutive terms is constant (3), this sequence is an Arithmetic Sequence.

Answer:

The correct answer is: Arithmetic.

Would you like to dive deeper into how to recognize these sequences? Or do you have any questions about it?

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Additional Questions to Explore:

1. What is the nth term formula for an arithmetic sequence?
2. How do you recognize a geometric sequence from the given terms?
3. Can a sequence be both arithmetic and geometric?
4. How would you find the sum of an arithmetic sequence?
5. What are the properties of an arithmetic sequence?

Tip: For arithmetic sequences, remember that the nth term formula is $a_n = a_1 + (n - 1) \cdot d$, where $d$ is the common difference.