What will come in place of question mark (?) in the following series?
2,3,5,8,12,?

Options

A. A)13
B. B)14
C. C)15
D. D)None of these

Answer

To solve the problem of finding the missing term in the series 2, 3, 5, 8, 12, ?, we will analyze the differences between consecutive terms.

### Step-by-Step Solution:

1. **Identify the Terms**:
The given series is:
- 1st term: 2
- 2nd term: 3
- 3rd term: 5
- 4th term: 8
- 5th term: 12
- 6th term: ?

2. **Calculate the Differences**:
We will find the difference between each pair of consecutive terms:
- Difference between 2nd and 1st term: 3 - 2 = 1
- Difference between 3rd and 2nd term: 5 - 3 = 2
- Difference between 4th and 3rd term: 8 - 5 = 3
- Difference between 5th and 4th term: 12 - 8 = 4

So, the differences are:
- 1, 2, 3, 4

3. **Identify the Pattern in Differences**:
The differences themselves form a simple arithmetic series:
- 1, 2, 3, 4 (increasing by 1 each time)

4. **Predict the Next Difference**:
Following the pattern, the next difference (for the 6th term) should be:
- 5 (since the differences are increasing by 1)

5. **Calculate the 6th Term**:
To find the 6th term, we add the next difference to the 5th term:
- 6th term = 5th term + next difference
- 6th term = 12 + 5 = 17

6. **Conclusion**:
The missing term in the series is 17. Since 17 is not one of the provided options, the correct answer is "none of these".

### Final Answer:
The answer is **none of these** (Option D).