What will come in the place of question (?) mark in following number series:
`6," "8," "14," "26," "46," "?`

Options

A. 72
B. 84
C. 96
D. 76

Answer

To solve the number series: `6, 8, 14, 26, 46, ?`, we need to identify the pattern in the series.

### Step-by-Step Solution:

1. **Identify the Series**:
The series is: 6, 8, 14, 26, 46, ?

2. **Calculate the Differences**:
Let's find the difference between consecutive terms:
- 8 - 6 = 2
- 14 - 8 = 6
- 26 - 14 = 12
- 46 - 26 = 20

So, the differences are: 2, 6, 12, 20.

3. **Calculate the Differences of Differences**:
Now, let's find the differences of the differences:
- 6 - 2 = 4
- 12 - 6 = 6
- 20 - 12 = 8

So, the second differences are: 4, 6, 8.

4. **Identify the Pattern in the Second Differences**:
The second differences are increasing by 2:
- 4, 6, 8, ...

Following this pattern, the next difference should be:
- 8 + 2 = 10.

5. **Add the Next Difference to the Last Difference**:
Now, we add this new difference (10) to the last difference (20):
- 20 + 10 = 30.

6. **Add This to the Last Term of the Original Series**:
Finally, we add this to the last term of the original series (46):
- 46 + 30 = 76.

### Conclusion:
The missing term in the series is **76**.