This sequence appears to follow a multiplicative pattern. Let's analyze it step by step:

1. The first number is **2**.
2. The second number is **6**, which is \( 2 \times 3 = 6 \).
3. We are missing the third number (denote it by \( ? \)).
4. The fourth number is **30**, which is \( 6 \times 5 = 30 \).
5. The fifth number is **-270**, which is \( 30 \times (-9) = -270 \).

It seems that the pattern involves multiplying by increasing odd integers (3, 5, -9). So, to find the missing number, we can multiply the second number (6) by the next odd integer, which would be 1:

\[
6 \times 1 = 6
\]

Thus, the sequence should be:

\[
2, 6, 6, 30, -270
\]

The missing number is **6**.

Would you like a more detailed explanation or have any questions?

Here are five related questions:
1. What are the next two terms in the sequence if the pattern continues?
2. Can you identify another sequence with a similar alternating multiplication pattern?
3. How would the sequence change if we multiplied by even numbers instead of odd ones?
4. What is the general term formula for a sequence that follows a multiplicative pattern?
5. Can you create a sequence using addition instead of multiplication?

**Tip:** When working with sequences, check for both arithmetic (addition/subtraction) and geometric (multiplication/division) patterns.

Learn how to find the missing term in the sequence 2, 6, ?, 30, -270 by recognizing the multiplicative pattern. This problem involves sequences, patterns, and multiplication concepts, suitable for students in Grades 6-8.

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