What will be come in place of the question mark (?) in the following number series
8 14 25 46 82 ?

Options

A. 132
B. 130
C. 138
D. 168

Answer

To solve the problem of finding the missing number in the series 8, 14, 25, 46, 82, ?, we will follow these steps:

### Step 1: Identify the series
The given series is:
8, 14, 25, 46, 82, ?

### Step 2: Find the differences between consecutive terms
We will calculate the differences between each pair of consecutive terms:
- Difference between 14 and 8: 14 - 8 = 6
- Difference between 25 and 14: 25 - 14 = 11
- Difference between 46 and 25: 46 - 25 = 21
- Difference between 82 and 46: 82 - 46 = 36

So the differences are:
6, 11, 21, 36

### Step 3: Find the differences of the differences
Next, we will find the differences of the differences:
- Difference between 11 and 6: 11 - 6 = 5
- Difference between 21 and 11: 21 - 11 = 10
- Difference between 36 and 21: 36 - 21 = 15

So the second-level differences are:
5, 10, 15

### Step 4: Identify the pattern in the second-level differences
The second-level differences are increasing by 5 each time:
5, 10, 15, ...

Following this pattern, the next difference should be:
15 + 5 = 20

### Step 5: Calculate the next difference in the first-level differences
Now, we will add this new difference (20) to the last first-level difference (36):
36 + 20 = 56

### Step 6: Find the missing term in the original series
Now, we will add this new difference (56) to the last term in the original series (82):
82 + 56 = 138

### Conclusion
The missing number in the series is 138.

### Final Answer
The number that will come in place of the question mark (?) is **138**.

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