780 , 681, 592, 513, 444, 385, ?

Options

A. 320
B. 324
C. 332
D. 336

Explanation

To solve the series: 780, 681, 592, 513, 444, 385, ?, we need to identify the pattern in the differences between the consecutive numbers.

### Step-by-Step Solution:

1. **Identify the series**: The given series is 780, 681, 592, 513, 444, 385, ?.

2. **Calculate the differences between consecutive terms**:
- 780 - 681 = 99
- 681 - 592 = 89
- 592 - 513 = 79
- 513 - 444 = 69
- 444 - 385 = 59

So, the differences are: 99, 89, 79, 69, 59.

3. **Observe the pattern in the differences**:
- The differences are decreasing by 10 each time:
- 99 (first difference)
- 89 (second difference)
- 79 (third difference)
- 69 (fourth difference)
- 59 (fifth difference)

4. **Predict the next difference**:
- Following the pattern, the next difference should be:
- 59 - 10 = 49.

5. **Calculate the next term in the series**:
- To find the next term, subtract the next difference from the last known term (385):
- 385 - 49 = 336.

6. **Conclusion**:
- The next number in the series is 336.

### Final Answer:
The missing number in the series is **336**.