Find out the wrong number in the following sequence of numbers
4,13,17,26,30,38,43.

Options

A. 13
B. 26
C. 38
D. 43

Answer

To find the wrong number in the sequence 4, 13, 17, 26, 30, 38, 43, we will analyze the pattern in the series step by step.

### Step 1: Identify the sequence
The given sequence is:
4, 13, 17, 26, 30, 38, 43

### Step 2: Look for patterns
We will check the differences between consecutive numbers:
- 13 - 4 = 9
- 17 - 13 = 4
- 26 - 17 = 9
- 30 - 26 = 4
- 38 - 30 = 8
- 43 - 38 = 5

The differences are:
9, 4, 9, 4, 8, 5

### Step 3: Analyze the differences
We can see that the differences are alternating between two values (9 and 4) for the first four terms. However, the next differences (8 and 5) do not follow the same pattern.

### Step 4: Check for consistency
If we follow the pattern of alternating differences:
- After 26 (which is 17 + 9), the next number should be:
- 26 + 9 = 35 (instead of 30)

This indicates that the number 30 is incorrect.

### Step 5: Verify the next number
Continuing from 35, the next number should be:
- 35 + 4 = 39 (instead of 38)

### Conclusion
The wrong number in the sequence is **30**. The correct number should be **35**.

### Summary of Steps
1. Identify the sequence.
2. Calculate the differences between consecutive numbers.
3. Analyze the differences for patterns.
4. Check for consistency in the pattern.
5. Conclude which number is wrong.