Find the missing number in the series:

$$2, 6, 30, 210, ?, 20790$$

Question

Find the missing number in the series:

$$2, 6, 30, 210, ?, 20790$$

Accepted Answer

**Solution:**

1. Observe the pattern between consecutive terms:
   - $2 	imes 3 = 6$
   - $6 	imes 5 = 30$
   - $30 	imes 7 = 210$

2. The multipliers are consecutive odd numbers starting from 3.

3. To find the missing term:
   - Multiply $210$ by the next odd number $9$:
     $$210 	imes 9 = 1890$$

4. Verify with the next term:
   - $1890 	imes 11 = 20790$

**Answer:** $1890$

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