1. Find the common ratio of each sequence.




d) 0.45, 0.9, 1.8, 3.6, ...

The sequence given is \( 0.45, 0.9, 1.8, 3.6, \dots \).

To find the **common ratio (r)** of a geometric sequence, we divide any term by the previous term. Let's check the ratio between consecutive terms:

\[
r = \frac{\text{second term}}{\text{first term}} = \frac{0.9}{0.45} = 2
\]

\[
r = \frac{\text{third term}}{\text{second term}} = \frac{1.8}{0.9} = 2
\]

\[
r = \frac{\text{fourth term}}{\text{third term}} = \frac{3.6}{1.8} = 2
\]

Thus, the common ratio \( r \) is **2**.

Would you like more details, or have any other questions?

Here are some related questions:
1. What is the next term in the sequence \(0.45, 0.9, 1.8, 3.6, \dots \)?
2. How can you find the sum of the first 10 terms of this geometric sequence?
3. How do you find the sum of an infinite geometric sequence?
4. What is the formula for the \(n\)-th term of a geometric sequence?
5. How do you identify whether a sequence is geometric or arithmetic?

**Tip:** To check if a sequence is geometric, divide consecutive terms to see if the ratio is constant.

Find the common ratio of each sequence: 0.45, 0.9, 1.8, 3.6, ...

Learn how to find the common ratio of a geometric sequence with terms 0.45, 0.9, 1.8, 3.6, and more. This guide covers essential concepts and formulas to help understand geometric sequences and their properties, suitable for students in Grades 6-8.

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