2) Find the next three terms of each sequence.

a) 3, 6, 12, 24,



Let's analyze the sequence: 3, 6, 12, 24.

Each term is being multiplied by 2 to get the next term:

\[
6 = 3 \times 2
\]
\[
12 = 6 \times 2
\]
\[
24 = 12 \times 2
\]

So, continuing this pattern:

\[
\text{Next term} = 24 \times 2 = 48
\]
\[
\text{Next term} = 48 \times 2 = 96
\]
\[
\text{Next term} = 96 \times 2 = 192
\]

Therefore, the next three terms of the sequence are:

\[
48, 96, 192
\]

Would you like more details or clarification on this? 

Here are five related questions to practice:

1. What are the next three terms of the sequence: 5, 10, 20, 40?
2. What is the general formula for the sequence 3, 6, 12, 24?
3. How do you identify a geometric sequence from a given set of terms?
4. Can this sequence be represented by a different mathematical operation, such as addition or subtraction?
5. How would the sequence change if each term were multiplied by 3 instead of 2?

**Tip:** When identifying patterns in a sequence, look for consistent operations (like multiplication, division, or addition) between consecutive terms.

Find the next three terms of the sequence: 3, 6, 12, 24.

Discover how to find the next three terms in the geometric sequence 3, 6, 12, 24. This problem involves identifying multiplication patterns and applying the geometric sequence formula. A perfect challenge for students in Grades 6-8.

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