Find the wrong term in the following number series questions.
100,148,220,316,436,580,752

Options

A. A)752
B. B)220
C. C)316
D. D)100

Answer

To find the wrong term in the number series 100, 148, 220, 316, 436, 580, 752, we will analyze the differences between consecutive terms and identify any inconsistencies.

### Step-by-Step Solution:

1. **Identify the Terms:**
The given series is:
- 1st term: 100
- 2nd term: 148
- 3rd term: 220
- 4th term: 316
- 5th term: 436
- 6th term: 580
- 7th term: 752

2. **Calculate the Differences:**
We will calculate the differences between consecutive terms:
- Difference between 148 and 100:
\( 148 - 100 = 48 \)
- Difference between 220 and 148:
\( 220 - 148 = 72 \)
- Difference between 316 and 220:
\( 316 - 220 = 96 \)
- Difference between 436 and 316:
\( 436 - 316 = 120 \)
- Difference between 580 and 436:
\( 580 - 436 = 144 \)
- Difference between 752 and 580:
\( 752 - 580 = 172 \)

So, the differences are:
- 48, 72, 96, 120, 144, 172

3. **Analyze the Pattern in Differences:**
Now, let's analyze the differences:
- The differences appear to increase by 24 each time:
- \( 72 - 48 = 24 \)
- \( 96 - 72 = 24 \)
- \( 120 - 96 = 24 \)
- \( 144 - 120 = 24 \)
- However, the last difference:
- \( 172 - 144 = 28 \) (which is not 24)

4. **Identify the Incorrect Term:**
The last difference should have been:
- \( 144 + 24 = 168 \)
- Therefore, if we add 168 to the last correct term (580):
\( 580 + 168 = 748 \)

5. **Conclusion:**
Since the last term in the series is 752 instead of 748, the wrong term in the series is **752**.

### Final Answer:
The wrong term in the series is **752**.