Find the wrong term in the following number series questions.
-12,-6,2,6,12,18,24

Options

A. A)2
B. B)6
C. C)-6
D. D)18

Answer

To find the wrong term in the given number series: -12, -6, 2, 6, 12, 18, 24, we will analyze the pattern in the series step by step.

### Step 1: Identify the terms in the series
The terms in the series are:
1. First term: -12
2. Second term: -6
3. Third term: 2
4. Fourth term: 6
5. Fifth term: 12
6. Sixth term: 18
7. Seventh term: 24

### Step 2: Calculate the differences between consecutive terms
Let's find the differences between each pair of consecutive terms:
- From -12 to -6:
Difference = -6 - (-12) = 6
- From -6 to 2:
Difference = 2 - (-6) = 8
- From 2 to 6:
Difference = 6 - 2 = 4
- From 6 to 12:
Difference = 12 - 6 = 6
- From 12 to 18:
Difference = 18 - 12 = 6
- From 18 to 24:
Difference = 24 - 18 = 6

### Step 3: Analyze the pattern of differences
The differences we calculated are:
1. 6 (from -12 to -6)
2. 8 (from -6 to 2)
3. 4 (from 2 to 6)
4. 6 (from 6 to 12)
5. 6 (from 12 to 18)
6. 6 (from 18 to 24)

It seems that after the first two differences, the pattern stabilizes at a difference of 6.

### Step 4: Identify the inconsistency
The difference of 8 (from -6 to 2) and the difference of 4 (from 2 to 6) do not fit the established pattern of adding 6.

### Step 5: Determine the correct term
If we follow the pattern of adding 6 consistently:
- From -12 to -6: +6
- From -6 to 0: +6 (instead of 2)
- From 0 to 6: +6
- From 6 to 12: +6
- From 12 to 18: +6
- From 18 to 24: +6

Thus, the term that should replace 2 to maintain the pattern is 0.

### Conclusion
The wrong term in the series is **2**.

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