The given sequence is:

$2, 9, 30, 105, ?, 2195$

Let's try to identify a pattern or rule.

1. First term: $2$
2. Second term: $9$
3. Third term: $30$
4. Fourth term: $105$
5. Fifth term: $?$
6. Sixth term: $2195$

One possible way to analyze this is by looking for a multiplication and addition pattern.

If we observe the relationship between terms:

1. $2 \times 3 + 3 = 9$
2. $9 \times 3 + 3 = 30$
3. $30 \times 3 + 3 = 105$
4. $105 \times 3 + 3 = 318$
5. $318 \times 3 + 3 = 957$

So, the missing number is 318.

Let me know if you need further details or explanations.

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Related Questions:

1. How do sequences with multiplication and addition rules generally progress?
2. What other patterns could we try for sequences?
3. How can we check if a sequence follows an exponential growth pattern?
4. What is the difference between an arithmetic and a geometric sequence?
5. How are recursive formulas used to define sequences?

Tip:

When analyzing sequences, look for simple addition, multiplication, or powers to find the pattern.