Find the missing term in the following numbers series questons.
10,20,60,300,?,23100

Options

A. 1650
B. 1500
C. 1800
D. 2100

Answer

To find the missing term in the series 10, 20, 60, 300, ?, 23100, we can analyze the pattern of multiplication between the terms.

### Step-by-step Solution:

1. **Identify the given series**:
The series is: 10, 20, 60, 300, ?, 23100.

2. **Analyze the pattern of multiplication**:
- From 10 to 20:
\[ 10 \times 2 = 20 \]
- From 20 to 60:
\[ 20 \times 3 = 60 \]
- From 60 to 300:
\[ 60 \times 5 = 300 \]

3. **Identify the multiplication factors**:
The multiplication factors so far are: 2, 3, and 5.

4. **Recognize the pattern in the factors**:
The factors 2, 3, and 5 are consecutive prime numbers. The next prime number after 5 is 7.

5. **Calculate the missing term**:
To find the missing term (let's call it \( x \)), we multiply 300 by the next prime number:
\[ 300 \times 7 = 2100 \]

6. **Verify the next term**:
Now, let's check the last term in the series:
- From 2100 to 23100:
\[ 2100 \times 11 = 23100 \]
Here, 11 is the next prime number after 7.

7. **Conclusion**:
The missing term in the series is \( 2100 \).

### Final Answer:
The missing term is **2100**.