Find the wrong number in the series 3,8,15,24,34,48,63:

Options

A. 15
B. 24
C. 34
D. 48

Answer

To find the wrong number in the series 3, 8, 15, 24, 34, 48, 63, we can follow these steps:

### Step 1: Identify the series
The series given is: 3, 8, 15, 24, 34, 48, 63.

### Step 2: Calculate the differences between consecutive numbers
Let's find the differences between each pair of consecutive numbers:
- 8 - 3 = 5
- 15 - 8 = 7
- 24 - 15 = 9
- 34 - 24 = 10
- 48 - 34 = 14
- 63 - 48 = 15

So, the differences are: 5, 7, 9, 10, 14, 15.

### Step 3: Analyze the pattern of differences
The differences we calculated are: 5, 7, 9, 10, 14, 15.

We can see that the first three differences (5, 7, 9) follow a pattern of increasing by 2. However, the next difference is 10, which breaks this pattern.

### Step 4: Check for a consistent pattern
If we assume the pattern continues to increase by 2, the next differences should be:
- After 9, the next difference should be 11 (not 10).
- After 11, the next difference should be 13.
- After 13, the next difference should be 15.

### Step 5: Identify the wrong number
If we follow the correct pattern of differences:
- After 24 (which is 15), we should have 24 + 11 = 35 (instead of 34).
- Thus, 34 is the wrong number in the series.

### Conclusion
The wrong number in the series 3, 8, 15, 24, 34, 48, 63 is **34**.

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