https://file.aiquickdraw.com/mathbot/file/1726400221307zkfw9jef.jpg

The problem asks for the missing number \( X \) in the sequence:

\[
1, 2, 3, X, 12, 24, 48, \ldots
\]

To solve this, let's analyze the pattern.

- From 12 to 24, the number is multiplied by 2.
- From 24 to 48, the number is again multiplied by 2.

This suggests a pattern of multiplying by 2 after 12.

Now, look at the earlier part of the sequence. 
- The first few numbers \( 1, 2, 3 \) don't follow a strict multiplication pattern. However, there is a clear transition from 3 to \( X \), which will match the pattern continuing to 12.

Notice that the number just after \( X \) is 12, so \( X \) must be 6, as \( 6 \times 2 = 12 \).

Thus, the missing number \( X \) is:

\[
\boxed{6}
\]

Would you like further clarification, or do you have any other questions?

Here are 5 relative questions to deepen your understanding:
1. What is the general term for this sequence?
2. How do sequences with a constant multiplier differ from those with an additive constant?
3. Can you determine the next three terms after 48 in this series?
4. How do arithmetic and geometric sequences compare in terms of progression?
5. What are common real-life applications of geometric sequences?

**Tip:** Always check if a sequence shows constant addition (arithmetic) or multiplication (geometric) to find the rule!

The number X in the series 1, 2, 3, X, 12, 24, 48, __ is:

Learn how to solve the number sequence puzzle where X is the missing term in the series 1, 2, 3, X, 12, 24, 48. The problem uses geometric progression concepts and is suitable for Grades 6-8.

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