76, 89, 115, 167, 271, 489

Options

A. 115
B. 167
C. 271
D. 489

Explanation

To solve the problem of identifying the wrong number in the series 76, 89, 115, 167, 271, 489, we will analyze the differences between consecutive terms and look for a pattern.

### Step-by-Step Solution:

1. **Identify the series**: The given series is:
\[ 76, 89, 115, 167, 271, 489 \]

2. **Calculate the differences between consecutive terms**:
- Difference between 89 and 76:
\[ 89 - 76 = 13 \]
- Difference between 115 and 89:
\[ 115 - 89 = 26 \]
- Difference between 167 and 115:
\[ 167 - 115 = 52 \]
- Difference between 271 and 167:
\[ 271 - 167 = 104 \]
- Difference between 489 and 271:
\[ 489 - 271 = 218 \]

So, the differences are:
\[ 13, 26, 52, 104, 218 \]

3. **Analyze the pattern in the differences**:
- The differences appear to be doubling:
- \(26\) is \(2 \times 13\)
- \(52\) is \(2 \times 26\)
- \(104\) is \(2 \times 52\)
- The next difference should be \(2 \times 104 = 208\).

4. **Check the expected next term**:
- If we add \(208\) to \(271\):
\[ 271 + 208 = 479 \]

5. **Compare with the given last term**:
- The last term in the series is \(489\), but we calculated it should be \(479\).

6. **Conclusion**:
- Therefore, \(489\) is the incorrect term in the series.

### Final Answer:
The wrong number in the series is **489** (Option D).