Find the wrong term in following number series
3,5,8,17,33,58,94

Options

A. 8
B. 94
C. 58
D. 5

Answer

To find the wrong term in the series 3, 5, 8, 17, 33, 58, 94, 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:
\[ 3, 5, 8, 17, 33, 58, 94 \]

2. **Calculate the differences between consecutive terms:**
- Difference between 5 and 3: \(5 - 3 = 2\)
- Difference between 8 and 5: \(8 - 5 = 3\)
- Difference between 17 and 8: \(17 - 8 = 9\)
- Difference between 33 and 17: \(33 - 17 = 16\)
- Difference between 58 and 33: \(58 - 33 = 25\)
- Difference between 94 and 58: \(94 - 58 = 36\)

So, the differences are:
\[ 2, 3, 9, 16, 25, 36 \]

3. **Identify the pattern in the differences:**
The differences can be expressed as:
- \(2 = 1^2 + 1\)
- \(3 = 1^2 + 2\)
- \(9 = 3^2\)
- \(16 = 4^2\)
- \(25 = 5^2\)
- \(36 = 6^2\)

We notice that the differences seem to follow a pattern of squares:
- The first difference should ideally be \(2 = 1^2 + 1\)
- The second difference should ideally be \(4 = 2^2\)
- The third difference is \(9 = 3^2\)
- The fourth difference is \(16 = 4^2\)
- The fifth difference is \(25 = 5^2\)
- The sixth difference is \(36 = 6^2\)

4. **Check for consistency in the differences:**
The expected differences should have been:
\[ 2, 4, 9, 16, 25, 36 \]
However, we have \(3\) instead of \(4\) as the second difference.

5. **Identify the wrong term:**
Since the second term (5) should have been \(4\) to maintain the pattern, we conclude that the wrong term in the series is \(5\).

### Conclusion:
The wrong term in the series is:
\[ \text{5} \]