Find the wrong term in the following number serie questions.
9000,7920,7020,6300,5760,5400,5200

Options

A. A)5400
B. B)9000
C. C)6300
D. D)5200

Answer

To find the wrong term in the given series: 9000, 7920, 7020, 6300, 5760, 5400, 5200, we will examine the differences between consecutive terms and identify any inconsistencies in the pattern.

### Step-by-Step Solution:

1. **Identify the Terms**:
The series is:
- First term (T1) = 9000
- Second term (T2) = 7920
- Third term (T3) = 7020
- Fourth term (T4) = 6300
- Fifth term (T5) = 5760
- Sixth term (T6) = 5400
- Seventh term (T7) = 5200

2. **Calculate the Differences**:
- Difference between T1 and T2:
\( 9000 - 7920 = 1080 \)
- Difference between T2 and T3:
\( 7920 - 7020 = 900 \)
- Difference between T3 and T4:
\( 7020 - 6300 = 720 \)
- Difference between T4 and T5:
\( 6300 - 5760 = 540 \)
- Difference between T5 and T6:
\( 5760 - 5400 = 360 \)
- Difference between T6 and T7:
\( 5400 - 5200 = 200 \)

3. **List the Differences**:
The differences we calculated are:
- 1080, 900, 720, 540, 360, 200

4. **Identify the Pattern**:
The differences appear to decrease in a specific pattern:
- 1080 to 900 (decrease of 180)
- 900 to 720 (decrease of 180)
- 720 to 540 (decrease of 180)
- 540 to 360 (decrease of 180)
- 360 to 200 (should decrease by 180, expected difference should be 180)

5. **Expected Value**:
If the pattern continues, after 360, the next difference should be:
\( 360 - 180 = 180 \)

6. **Calculate the Correct Term**:
If we apply the expected difference of 180 to the last known correct term (T6 = 5400):
\( 5400 - 180 = 5220 \)

7. **Identify the Wrong Term**:
The term in the series is 5200, but it should be 5220. Therefore, the wrong term in the series is:
**5200**.

### Final Answer:
The wrong term in the series is **5200**.