Next term of the sequence 0.02, 0.006, 0.0018

This sequence appears to be a geometric progression, where each term is obtained by multiplying the previous term by a common ratio.

Let's confirm that by dividing consecutive terms:

1. \( \frac{0.006}{0.02} = 0.3 \)
2. \( \frac{0.0018}{0.006} = 0.3 \)

So, the common ratio is \( 0.3 \).

To find the next term, we multiply the last term by \( 0.3 \):

\[
0.0018 \times 0.3 = 0.00054
\]

Thus, the next term in the sequence is **0.00054**.

Would you like more details on geometric progressions, or do you have any questions?

Here are 5 related questions:
1. What is the formula for the general term of a geometric sequence?
2. How do you identify a geometric progression from a sequence of numbers?
3. Can geometric sequences have negative terms or a common ratio?
4. How is a geometric sequence different from an arithmetic sequence?
5. What happens to the terms of a geometric sequence if the common ratio is greater than 1?

**Tip:** In geometric sequences, when the common ratio is between 0 and 1, the terms get smaller with each step.

Discover how to find the next term in a geometric sequence starting with 0.02, 0.006, and 0.0018. This example explains geometric progression concepts, the common ratio, and how to apply the next-term formula. Perfect for students in Grades 6-8.

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