You have provided a sequence from a geometric progression: 3, 6, 12, 24. To find the missing terms, we can observe the common ratio between consecutive terms.

1. Common Ratio Calculation:
   • From 3 to 6: $\frac{6}{3} = 2$
   • From 6 to 12: $\frac{12}{6} = 2$
   • From 12 to 24: $\frac{24}{12} = 2$

The common ratio (r) is 2.

2. Finding the Next Term:
   • The next term after 24 would be $24 \times 2 = 48$.

Thus, the next term in this sequence is 48.

Would you like more details on this or have any other questions? Here are some related questions to consider:

1. What is the formula for the nth term of a geometric sequence?
2. How do you find the sum of the first n terms of a geometric sequence?
3. Can a geometric sequence have a common ratio that is a fraction?
4. What happens if the common ratio of a geometric sequence is negative?
5. How can you use the geometric sequence formula to solve real-world problems?

Tip: When working with sequences, always check if the pattern (either by multiplication or division) is consistent across all terms to correctly identify the type of sequence.