complete the following series
11, 14, 24, 41, 65, ….

Options

A. 91
B. 93
C. 96
D. 99

Explanation

To solve the series: 11, 14, 24, 41, 65, …, we need to find the next number in the sequence.

### Step-by-Step Solution:

1. **Identify the series**: The given series is 11, 14, 24, 41, 65.

2. **Calculate the differences between consecutive terms**:
- 14 - 11 = 3
- 24 - 14 = 10
- 41 - 24 = 17
- 65 - 41 = 24

So, the differences are: 3, 10, 17, 24.

3. **Calculate the differences of the differences**:
- 10 - 3 = 7
- 17 - 10 = 7
- 24 - 17 = 7

The second-level differences are constant and equal to 7.

4. **Predict the next difference**: Since the second-level difference is constant (7), we can add 7 to the last first-level difference (24) to find the next difference:
- Next difference = 24 + 7 = 31.

5. **Calculate the next term in the series**: Now, we add this new difference (31) to the last term in the series (65):
- Next term = 65 + 31 = 96.

Thus, the next number in the series is **96**.

### Final Answer:
The completed series is: 11, 14, 24, 41, 65, **96**.