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.