Find the wrong number in the following number series.
5,8,16,26,50,98,194

Options

A. A)5
B. B)194
C. C)8
D. D)16

Answer

To find the wrong number in the series 5, 8, 16, 26, 50, 98, 194, we will analyze the differences between consecutive terms and look for a pattern.

### Step-by-step Solution:

1. **Write down the series**:
- The given series is: 5, 8, 16, 26, 50, 98, 194.

2. **Calculate the differences between consecutive terms**:
- 8 - 5 = 3
- 16 - 8 = 8
- 26 - 16 = 10
- 50 - 26 = 24
- 98 - 50 = 48
- 194 - 98 = 96

So, the differences are: 3, 8, 10, 24, 48, 96.

3. **Analyze the pattern in the differences**:
- The differences are: 3, 8, 10, 24, 48, 96.
- Notice that after the first two differences (3 and 8), the differences seem to double:
- 24 (which is 10 + 14) is not following the doubling pattern.
- 48 is double 24.
- 96 is double 48.

4. **Identify the expected difference**:
- If we follow the pattern of doubling, the difference after 8 should be 12 (which is double 6).
- Therefore, the correct sequence of differences should be:
- 3 (5 to 8)
- 12 (8 to 20)
- 24 (20 to 44)
- 48 (44 to 92)
- 96 (92 to 188)

5. **Find the wrong term**:
- The term after 8 should be 20 (not 16).
- Hence, the wrong term in the series is 16.

6. **Conclusion**:
- The wrong number in the series is **16**.