Find the wrong number in the following number series?
5,19,75,299,1195,4779,19125

Options

A. 5
B. 19
C. 299
D. 19125

Answer

To find the wrong number in the series: 5, 19, 75, 299, 1195, 4779, 19125, we will analyze the pattern in the series step by step.

### Step 1: Identify the Pattern
We will look for a consistent pattern in how the numbers are generated. Observing the first few terms, we can try to find a relationship between consecutive terms.

### Step 2: Calculate the Terms
1. **From 5 to 19**:
\[ 5 \times 4 - 1 = 20 - 1 = 19 \]

2. **From 19 to 75**:
\[ 19 \times 4 - 1 = 76 - 1 = 75 \]

3. **From 75 to 299**:
\[ 75 \times 4 - 1 = 300 - 1 = 299 \]

4. **From 299 to 1195**:
\[ 299 \times 4 - 1 = 1196 - 1 = 1195 \]

5. **From 1195 to 4779**:
\[ 1195 \times 4 - 1 = 4780 - 1 = 4779 \]

6. **From 4779 to 19125**:
\[ 4779 \times 4 - 1 = 19116 - 1 = 19115 \]

### Step 3: Compare with Given Series
Now, we compare the last calculated term with the given last term in the series:
- The calculated term is **19115**, but the given term is **19125**.

### Step 4: Identify the Wrong Number
Since the last term in the series does not follow the established pattern, we conclude that **19125** is the wrong number.

### Conclusion
The wrong number in the series is **19125**.

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