What will be come in place of the question mark (?) in the following number series
9 11 16 33 98 ?

Options

A. 350
B. 355
C. 335
D. 455

Answer

To find the missing number in the series: 9, 11, 16, 33, 98, ?, we can analyze the pattern in the series step by step.

### Step 1: Identify the pattern
We will look at how each number in the series relates to the next number.

1. **From 9 to 11:**
\[ 9 + (2^0 + 1) = 9 + (1 + 1) = 11 \]

2. **From 11 to 16:**
\[ 11 + (2^2 + 1) = 11 + (4 + 1) = 16 \]

3. **From 16 to 33:**
\[ 16 + (2^4 + 1) = 16 + (16 + 1) = 33 \]

4. **From 33 to 98:**
\[ 33 + (2^6 + 1) = 33 + (64 + 1) = 98 \]

### Step 2: Continue the pattern
Now, we will apply the same pattern to find the next number after 98.

5. **From 98 to ?:**
\[ 98 + (2^8 + 1) = 98 + (256 + 1) = 98 + 257 = 355 \]

### Conclusion
Thus, the number that will replace the question mark (?) in the series is **355**.

### Final Answer
The missing number is **355**.

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