To find the next number in the sequence \(2, 6, 24, 120, ?\), let's analyze the pattern:

1. Notice that the sequence terms are related to factorials:
   - \(2 = 2\)
   - \(6 = 2 \times 3\)
   - \(24 = 2 \times 3 \times 4\)
   - \(120 = 2 \times 3 \times 4 \times 5\)

From this pattern, we can see that each term is the product of the previous term and the next integer in the sequence:

- The first term is \(2\).
- The second term is \(2 \times 3 = 6\).
- The third term is \(6 \times 4 = 24\).
- The fourth term is \(24 \times 5 = 120\).

Therefore, the next term should be \(120 \times 6\):

\[ 120 \times 6 = 720 \]

So, the next number in the sequence is **720**.

Would you like more details or have any questions?

Here are 5 questions you might want to ask:
1. Can you explain another type of sequence?
2. How do you solve geometric sequences?
3. What are arithmetic sequences and how do they work?
4. Can you explain the Lucas sequence?
5. How do you determine the sum of a sequence?

**Tip:** When dealing with sequences, checking for factorial patterns or products involving consecutive integers can often reveal the underlying rule.

Explore the pattern in the sequence 2, 6, 24, 120, ? and learn how to determine the next number. This problem involves factorial patterns and product sequences, suitable for high school students.

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