What should come in place of the question mark (?) in the following number series ?
(निम्नलिखित संख्या श्रृंखला में प्रश्नवाचक चिन्ह (?) के स्थान पर क्या आना चाहिए?)
`17" "52" "158" "477" "?" "4310`

Options

A. 1433
B. 1432
C. 1435
D. 1434

Answer

To find the missing number in the series `17, 52, 158, 477, ?, 4310`, we can analyze the pattern in the series step by step.

### Step 1: Identify the pattern
We start with the first number, 17. We can see that the subsequent numbers seem to be derived from the previous number through multiplication and addition.

### Step 2: Calculate the next number
1. **From 17 to 52**:
- Multiply 17 by 3:
\[ 17 \times 3 = 51 \]
- Add 1:
\[ 51 + 1 = 52 \]

2. **From 52 to 158**:
- Multiply 52 by 3:
\[ 52 \times 3 = 156 \]
- Add 2:
\[ 156 + 2 = 158 \]

3. **From 158 to 477**:
- Multiply 158 by 3:
\[ 158 \times 3 = 474 \]
- Add 3:
\[ 474 + 3 = 477 \]

### Step 3: Calculate the next number (?)
Now we need to find the number that follows 477.

4. **From 477 to ?**:
- Multiply 477 by 3:
\[ 477 \times 3 = 1431 \]
- Add 4:
\[ 1431 + 4 = 1435 \]

### Step 4: Verify the next number
5. **From ? to 4310**:
- Multiply 1435 by 3:
\[ 1435 \times 3 = 4305 \]
- Add 5:
\[ 4305 + 5 = 4310 \]

### Conclusion
Thus, the missing number in the series is **1435**.