What will come in place of question mark (?) inthe following number series'
17 23 35 59 107 ?

Options

A. 217
B. 223
C. 203
D. None of the above

Answer

To solve the problem of finding the missing number in the series 17, 23, 35, 59, 107, we will follow these steps:

### Step 1: Identify the series
The given series is:
17, 23, 35, 59, 107, ?

### Step 2: Calculate the differences between consecutive terms
We will find the difference between each pair of consecutive numbers in the series:
- Difference between 23 and 17:
\( 23 - 17 = 6 \)

- Difference between 35 and 23:
\( 35 - 23 = 12 \)

- Difference between 59 and 35:
\( 59 - 35 = 24 \)

- Difference between 107 and 59:
\( 107 - 59 = 48 \)

Now we have the differences:
6, 12, 24, 48

### Step 3: Analyze the differences
Next, we will analyze the differences we calculated:
- The differences are: 6, 12, 24, 48

We can see that each difference is doubling:
- From 6 to 12: \( 6 \times 2 = 12 \)
- From 12 to 24: \( 12 \times 2 = 24 \)
- From 24 to 48: \( 24 \times 2 = 48 \)

### Step 4: Predict the next difference
Following the pattern, the next difference should be:
- From 48: \( 48 \times 2 = 96 \)

### Step 5: Calculate the missing number
Now, we will add this difference to the last number in the series:
- \( 107 + 96 = 203 \)

### Conclusion
Thus, the number that will come in place of the question mark (?) is **203**.

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