What will come in place of question mark(?) in given number series.
5 14 41 122 ? 1094

Options

A. 355
B. 367
C. 365
D. 362

Answer

To solve the number series: 5, 14, 41, 122, ?, 1094, we need to identify the pattern in the series.

### Step-by-step Solution:

1. **Identify the pattern between the numbers**:
- Start with the first two numbers: 5 and 14.
- Notice that if we multiply 5 by 3, we get 15. If we subtract 1 from 15, we get 14.
- This suggests a pattern: \( n \times 3 - 1 \).

2. **Apply the pattern to the next number**:
- Now take the second number, 14.
- Multiply 14 by 3 to get 42. Subtracting 1 gives us 41.
- This confirms our pattern is consistent so far.

3. **Continue applying the pattern**:
- Next, take 41.
- Multiply 41 by 3 to get 123. Subtracting 1 gives us 122.
- The pattern holds again.

4. **Find the next number in the series**:
- Now, we need to find the number that comes after 122.
- Multiply 122 by 3 to get 366. Subtracting 1 gives us 365.
- So, the number that replaces the question mark (?) is 365.

5. **Verify the final number in the series**:
- Finally, we check the next number, which is 1094.
- Multiply 365 by 3 to get 1095. Subtracting 1 gives us 1094.
- This confirms that our pattern is consistent throughout the series.

### Conclusion:
The number that comes in place of the question mark (?) is **365**.