8, 25, 76, 229, 688, 2055

Options

A. 8
B. 76
C. 688
D. 2055

Explanation

To solve the series: 8, 25, 76, 229, 688, 2055, we need to identify the pattern and find the incorrect number in the sequence.

### Step-by-Step Solution:

1. **Identify the Pattern**:
- Start with the first number: 8.
- The next number is 25. Let's see how we can get from 8 to 25.

2. **Calculate the Multiplication and Addition**:
- If we multiply 8 by 3, we get 24.
- Then, we add 1 to 24 to get 25.
- So, the operation can be described as: \( 8 \times 3 + 1 = 25 \).

3. **Continue the Pattern**:
- Now let's apply the same operation to 25 to find the next number:
- \( 25 \times 3 = 75 \).
- Adding 1 gives us \( 75 + 1 = 76 \).

4. **Next Number Calculation**:
- Now apply the pattern to 76:
- \( 76 \times 3 = 228 \).
- Adding 1 gives us \( 228 + 1 = 229 \).

5. **Continue with 229**:
- Now apply the pattern to 229:
- \( 229 \times 3 = 687 \).
- Adding 1 gives us \( 687 + 1 = 688 \).

6. **Final Calculation for Next Number**:
- Now apply the pattern to 688:
- \( 688 \times 3 = 2064 \).
- Adding 1 gives us \( 2064 + 1 = 2065 \).

7. **Compare with the Given Series**:
- The next number in the series should be 2065, but the series lists 2055 instead.
- Therefore, 2055 is the incorrect number in the series.

### Conclusion:
The incorrect number in the series is **2055**.