The given sequence is 18, 16, 14, 12. To solve the sequence, we need to determine the pattern or rule that defines the sequence. 

To identify the rule, let's look at the differences between consecutive terms:

- Difference between 18 and 16: \( 18 - 16 = 2 \)
- Difference between 16 and 14: \( 16 - 14 = 2 \)
- Difference between 14 and 12: \( 14 - 12 = 2 \)

The common difference between each term is \(-2\).

This indicates that the sequence is an arithmetic sequence where each term decreases by 2. The general form of an arithmetic sequence can be expressed as:

\[ a_n = a_1 + (n - 1)d \]

where:
- \( a_n \) is the nth term of the sequence
- \( a_1 \) is the first term of the sequence
- \( d \) is the common difference between the terms
- \( n \) is the term number

In this sequence:
- \( a_1 = 18 \)
- \( d = -2 \)

Let's find the next three terms in the sequence:

1. \( 12 - 2 = 10 \)
2. \( 10 - 2 = 8 \)
3. \( 8 - 2 = 6 \)

So, the sequence continues as 18, 16, 14, 12, 10, 8, 6.

Would you like more details or have any questions? Here are some related questions to expand your understanding:

1. What is the 10th term in this arithmetic sequence?
2. How would you find the sum of the first 20 terms of this sequence?
3. Can you write the formula for the nth term of this sequence?
4. How would the sequence change if the common difference was positive?
5. What is the general formula for the sum of the first n terms of an arithmetic sequence?
6. How does an arithmetic sequence differ from a geometric sequence?
7. Can you derive the nth term of this sequence using the given first term and common difference?
8. How would you graph this sequence on a coordinate plane?

**Tip:** In an arithmetic sequence, if you know any term and the common difference, you can find any other term in the sequence by using the general formula.

Discover the pattern in the sequence 18, 16, 14, 12 with an arithmetic sequence explanation. Learn how to identify the common difference and continue the sequence. Suitable for Grades 9-12.

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