What will come in place of the question mark (?) in the given number series?
1 3 11 37 117 ?

Options

A. 344
B. 347
C. 359
D. 342

Answer

To solve the given number series: 1, 3, 11, 37, 117, ?, we will analyze the pattern in the series step by step.

### Step-by-Step Solution:

1. **Identify the pattern between the numbers**:
- Start with the first number: 1
- The second number is 3.
- To find how we get from 1 to 3, we can observe that:
\[ 1 \times 3 + 0 = 3 \]

2. **Next, move from 3 to 11**:
- To find how we get from 3 to 11:
\[ 3 \times 3 + 2 = 11 \]

3. **Now, move from 11 to 37**:
- To find how we get from 11 to 37:
\[ 11 \times 3 + 4 = 37 \]

4. **Next, move from 37 to 117**:
- To find how we get from 37 to 117:
\[ 37 \times 3 + 6 = 117 \]

5. **Now, let's find the next number after 117**:
- We will multiply 117 by 3:
\[ 117 \times 3 = 351 \]
- Then we will add 8:
\[ 351 + 8 = 359 \]

Thus, the number that will come in place of the question mark (?) is **359**.

### Final Answer:
The answer is **359**.