In each of the following questions a series is given. In each one term is wrong. Find out the wrong term
2, 6, 16, 38, 84, 176, 368

Options

A. 6
B. 16
C. 38
D. 176

Answer

To find the wrong term in the series 2, 6, 16, 38, 84, 176, 368, we will analyze the pattern of the series step by step.

### Step 1: Identify the pattern
We start by observing the series:
- 2, 6, 16, 38, 84, 176, 368

We notice that the numbers seem to be increasing rapidly, suggesting a multiplication pattern combined with some addition.

### Step 2: Calculate the expected terms
Let's analyze the terms by multiplying by 2 and adding an increasing even number:

1. **From 2 to 6**:
\[ 2 \times 2 + 2 = 4 + 2 = 6 \]

2. **From 6 to 16**:
\[ 6 \times 2 + 4 = 12 + 4 = 16 \]

3. **From 16 to 38**:
\[ 16 \times 2 + 6 = 32 + 6 = 38 \]

4. **From 38 to 84**:
\[ 38 \times 2 + 8 = 76 + 8 = 84 \]

5. **From 84 to 176**:
\[ 84 \times 2 + 10 = 168 + 10 = 178 \]

6. **From 176 to 368**:
\[ 176 \times 2 + 12 = 352 + 12 = 364 \]

### Step 3: Compare with the given series
Now, let's compare the calculated values with the given series:
- The calculated value after 84 should be 178, but the series has 176.
- The calculated value after 176 should be 364, but the series has 368.

### Conclusion
The term that does not fit the pattern is **176**. The correct term should be **178**.

### Final Answer
The wrong term in the series is **176**.

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