705 728 774 843 935 1050 ?

Options

A. 1190
B. 1180
C. 1185
D. None of these

Explanation

To find the missing number in the series: 705, 728, 774, 843, 935, 1050, ?, we will analyze the differences between the consecutive numbers and identify a pattern.

### Step-by-step Solution:

1. **Identify the Series**: The given series is:
- 705, 728, 774, 843, 935, 1050, ?

2. **Calculate the Differences**: We will calculate the differences between consecutive terms:
- 728 - 705 = 23
- 774 - 728 = 46
- 843 - 774 = 69
- 935 - 843 = 92
- 1050 - 935 = 115

So, the differences are:
- 23, 46, 69, 92, 115

3. **Identify the Pattern in Differences**: Now, we will observe the differences:
- 23 = 1 × 23
- 46 = 2 × 23
- 69 = 3 × 23
- 92 = 4 × 23
- 115 = 5 × 23

The differences can be expressed as:
- 1 × 23, 2 × 23, 3 × 23, 4 × 23, 5 × 23

4. **Predict the Next Difference**: Following the established pattern, the next difference should be:
- 6 × 23 = 138

5. **Calculate the Missing Number**: Now, we will add this difference to the last known term in the series:
- 1050 + 138 = 1188

6. **Conclusion**: Therefore, the missing number in the series is **1188**.

### Final Answer:
The missing number in the series is **1188**.