In the following number series a wrong number is given .Find out that wrong number .
8 , 14 , 26 , 48 , 98 , 194 , 386

Options

A. 194
B. 98
C. 14
D. 48

Answer

To find the wrong number in the series: 8, 14, 26, 48, 98, 194, 386, we will analyze the pattern in the sequence.

### Step 1: Identify the pattern
We can observe how each term relates to the previous term.

- From 8 to 14:
\[ 2 \times 8 - 2 = 16 - 2 = 14 \]

- From 14 to 26:
\[ 2 \times 14 - 2 = 28 - 2 = 26 \]

### Step 2: Apply the pattern to the next term
Now, let's apply the same pattern to find the next term after 26.

- From 26 to the next term:
\[ 2 \times 26 - 2 = 52 - 2 = 50 \]

### Step 3: Compare with the given series
The next term in the series is 48, but according to our calculation, it should be 50. This indicates that 48 is the wrong number.

### Step 4: Verify the subsequent terms
Let’s check the next terms to ensure the pattern holds:

- From 50 to the next term:
\[ 2 \times 50 - 2 = 100 - 2 = 98 \]
(This matches the series.)

- From 98 to the next term:
\[ 2 \times 98 - 2 = 196 - 2 = 194 \]
(This matches the series.)

- From 194 to the next term:
\[ 2 \times 194 - 2 = 388 - 2 = 386 \]
(This matches the series.)

### Conclusion
Thus, the wrong number in the series is **48**.

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