Fill the blank number in the series from given options
6, 18, 54, 162, ?

Options

A. 486
B. 490
C. 485
D. 400

Answer

To solve the problem of finding the missing number in the series 6, 18, 54, 162, ?, we can follow these steps:

1. **Identify the Pattern**:
- Look at the relationship between the numbers in the series.
- The first number is 6, the second number is 18, the third number is 54, and the fourth number is 162.

2. **Calculate the Multiplication Factor**:
- From 6 to 18:
\[ 6 \times 3 = 18 \]
- From 18 to 54:
\[ 18 \times 3 = 54 \]
- From 54 to 162:
\[ 54 \times 3 = 162 \]

3. **Apply the Same Pattern**:
- Now, we apply the same multiplication factor (which is 3) to the last number in the series, 162:
\[ 162 \times 3 = 486 \]

4. **Conclusion**:
- Therefore, the missing number in the series is 486.

The final answer is:
\[ \text{The missing number is } 486. \]