Find the wrong term in the following number series question.
4000,3424,3024,2768,2624,2560,2524

Options

A. A)3424
B. B)2768
C. C)2524
D. D)2560

Answer

To find the wrong term in the number series: 4000, 3424, 3024, 2768, 2624, 2560, 2524, we will analyze the differences between consecutive terms and look for a pattern.

### Step-by-Step Solution:

1. **Identify the Terms**:
The series is:
- 1st term: 4000
- 2nd term: 3424
- 3rd term: 3024
- 4th term: 2768
- 5th term: 2624
- 6th term: 2560
- 7th term: 2524

2. **Calculate the Differences**:
- From 4000 to 3424:
\( 4000 - 3424 = 576 \)
- From 3424 to 3024:
\( 3424 - 3024 = 400 \)
- From 3024 to 2768:
\( 3024 - 2768 = 256 \)
- From 2768 to 2624:
\( 2768 - 2624 = 144 \)
- From 2624 to 2560:
\( 2624 - 2560 = 64 \)
- From 2560 to 2524:
\( 2560 - 2524 = 36 \)

So, the differences are:
- 576, 400, 256, 144, 64, 36

3. **Identify the Pattern in Differences**:
Now, let's analyze the differences:
- The first difference is 576.
- The second difference is 400 (which is \( 576 - 176 \)).
- The third difference is 256 (which is \( 400 - 144 \)).
- The fourth difference is 144 (which is \( 256 - 112 \)).
- The fifth difference is 64 (which is \( 144 - 80 \)).
- The sixth difference is 36 (which is \( 64 - 28 \)).

The differences seem to be decreasing, but not in a consistent pattern.

4. **Check for Consistency**:
If we look closely, the differences are not decreasing consistently. The expected pattern seems to suggest that the differences should be decreasing by a certain amount each time.

5. **Identify the Wrong Term**:
If we assume that the differences should follow a certain pattern, we can check what the correct term should be instead of 2524.
- The pattern suggests that after 2560, the next difference should be 16 (based on the previous differences).
- If we subtract 16 from 2560, we get \( 2560 - 16 = 2544 \).

6. **Conclusion**:
The term 2524 is incorrect. The correct term should be 2544.

### Final Answer:
The wrong term in the series is **2524**.