The given sequence is:

1, 2, 3, 6, 12, 24.

Let's analyze it:

• From 1 to 2, the number is multiplied by 2.
• From 2 to 3, the number is multiplied by 1.5.
• From 3 to 6, the number is multiplied by 2.
• From 6 to 12, the number is multiplied by 2.
• From 12 to 24, the number is multiplied by 2.

It seems that after the first irregular multiplication by 1.5, the numbers are consistently multiplied by 2. Therefore, continuing this pattern:

• 24 × 2 = 48.

So, the next number in the sequence is 48.

Would you like more details or have any questions?

Here are 5 related questions to deepen understanding:

1. What are other common types of number sequences?
2. How do geometric sequences differ from arithmetic sequences?
3. Can you find another sequence where multiplication varies irregularly?
4. How does the rule change affect the prediction of future numbers?
5. What is the general form of a geometric sequence?

Tip: Recognizing patterns is crucial in number sequences. Look for consistent operations like addition, multiplication, or a combination of both!