7 13 25 49 97 194 385

Options

A. 13
B. 49
C. 97
D. 194

Explanation

To solve the problem of identifying the wrong number in the series: 7, 13, 25, 49, 97, 194, 385, we will follow these steps:

### Step-by-Step Solution

1. **Identify the Series**: We have the series: 7, 13, 25, 49, 97, 194, 385.

2. **Calculate the Differences**: We will find the differences between consecutive terms in the series.
- 13 - 7 = 6
- 25 - 13 = 12
- 49 - 25 = 24
- 97 - 49 = 48
- 194 - 97 = 97
- 385 - 194 = 191

So, the differences are: 6, 12, 24, 48, 97, 191.

3. **Analyze the Differences**: Next, we will look for a pattern in the differences:
- The differences appear to be doubling:
- 6 * 2 = 12
- 12 * 2 = 24
- 24 * 2 = 48
- 48 * 2 = 96 (Expected difference, but we have 97)
- 96 * 2 = 192 (Expected difference, but we have 191)

4. **Identify the Anomaly**: We notice that the difference between 49 and 97 is 97, which should actually be 96 based on the doubling pattern. Therefore, the number 194 is incorrect.

5. **Correct the Number**: To find the correct number in place of 194, we can calculate:
- 97 + 96 = 193

6. **Final Series**: The corrected series should be: 7, 13, 25, 49, 97, **193**, 385.

### Conclusion
The wrong number in the series is **194**, and it should be replaced with **193**.