In each of the following number series , a wrong number is given ,find out the wrong number -----
2 3 6 18 109 1944 209952

Options

A. 3
B. 6
C. 18
D. 109

Answer

To find the wrong number in the series: 2, 3, 6, 18, 109, 1944, 209952, we will analyze the pattern in the series step by step.

### Step-by-Step Solution:

1. **Identify the Pattern**:
- The first number is 2.
- The second number is 3.
- The third number is 6.
- The fourth number is 18.

2. **Check Multiplication**:
- From 2 to 3: \(2 \times 1.5 = 3\)
- From 3 to 6: \(3 \times 2 = 6\)
- From 6 to 18: \(6 \times 3 = 18\)

3. **Continue the Pattern**:
- Following the pattern, we can see that we are multiplying by increasing integers:
- From 2 to 3, we multiplied by 1.5.
- From 3 to 6, we multiplied by 2.
- From 6 to 18, we multiplied by 3.
- Next, we should multiply 18 by 4:
- \(18 \times 4 = 72\)

4. **Check the Next Number**:
- Now, we should multiply 72 by 5:
- \(72 \times 5 = 360\)

5. **Continue the Pattern**:
- Next, we should multiply 360 by 6:
- \(360 \times 6 = 2160\)

6. **Final Check**:
- The next number should be 2160, but the series shows 1944, which is incorrect.
- Therefore, the wrong number in the series is **109**.

### Conclusion:
The wrong number in the series is **109**.