1.5 6 24 96 384 _______ and give a solution

To solve this sequence, let's first observe the pattern in the given numbers:

1. **1.5**
2. **6**
3. **24**
4. **96**
5. **384**

### Finding the Pattern:
Each term seems to be multiplied by a constant factor to get the next term.

- \(6 = 1.5 \times 4\)
- \(24 = 6 \times 4\)
- \(96 = 24 \times 4\)
- \(384 = 96 \times 4\)

### Conclusion:
Each term is multiplied by 4 to obtain the next term.

So, the next term after 384 would be:

\[
384 \times 4 = 1536
\]

### Final Answer:
The next term in the sequence is **1536**.

Would you like more details or have any questions? Here are some related questions you might explore:

1. What is the general formula for this sequence?
2. How would you derive a general expression for an arithmetic sequence?
3. Can you identify another sequence that grows with a different multiplicative factor?
4. What is the difference between geometric and arithmetic sequences?
5. How would you find the nth term of this sequence?
6. How do geometric sequences differ when using fractions or decimals as the common ratio?
7. Can you find the sum of the first n terms in this sequence?
8. How would the sequence change if a different starting number was used?

**Tip:** When solving sequences, always check for a common ratio or difference to identify patterns.

Explore the sequence 1.5, 6, 24, 96, 384 and predict the next term using multiplication patterns. Learn how to identify and extend geometric sequences with a step-by-step explanation.

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