The sequence you've provided appears to follow a specific pattern based on multiplication. Let's analyze it step-by-step to find the next term:

1. **From 2 to 3:** Multiply by \( \frac{3}{2} \).
2. **From 3 to 6:** Multiply by 2.
3. **From 6 to 18:** Multiply by 3.
4. **From 18 to 108:** Multiply by 6.

The pattern shows an increase in the multiplier in the following sequence: \( \frac{3}{2}, 2, 3, 6 \).

Following this, it would be logical to multiply the next term by **12** (the next in sequence after doubling the previous multiplier, 6).

\[
108 \times 12 = 1296
\]

So, the next term is **1296**.

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### Related Questions
1. What other methods can be used to identify patterns in number sequences?
2. How do you recognize exponential versus arithmetic sequences?
3. How would a fractional multiplier affect a sequence pattern?
4. Could sequences involve alternating arithmetic and geometric patterns?
5. Can we generalize a formula for this particular sequence?

#### Tip:
Always look for changes in multipliers or differences between terms; they often reveal a pattern in sequences.

Learn how to identify the pattern and find the next term in the sequence 2, 3, 6, 18, 108. This solution covers core concepts in sequences and multiplicative patterns, suitable for students in Grades 7-9.

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