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We are given that the 17th term of a geometric sequence is 15, and the common ratio is \( r = 0.2 \). The task is to find the 18th term.

In a geometric sequence, each term is obtained by multiplying the previous term by the common ratio. So, the relationship between consecutive terms is:

\[
a_{n+1} = a_n \times r
\]

To find the 18th term (\(a_{18}\)), we use the formula:

\[
a_{18} = a_{17} \times r
\]

Given that \( a_{17} = 15 \) and \( r = 0.2 \):

\[
a_{18} = 15 \times 0.2 = 3
\]

Thus, the 18th term is \( 3 \), which matches the first answer option.

Let me know if you need more details or explanations! 

### Related Questions:
1. What is the general formula for the \(n\)-th term of a geometric sequence?
2. How do you find the sum of a finite geometric series?
3. What happens to the terms of a geometric sequence if the common ratio is negative?
4. How does the common ratio affect the convergence of an infinite geometric sequence?
5. Can a geometric sequence have a common ratio of 1 or 0?

**Tip:** In geometric sequences, if the common ratio is less than 1, the terms decrease as the sequence progresses.

The 17th term in a geometric sequence is 15. When the common ratio is 0.2, what is the 18th term?

In this problem, the 17th term of a geometric sequence is 15, and the common ratio is 0.2. Learn how to calculate the 18th term using the geometric sequence formula. This solution is suitable for students in Grades 8-10.

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