The following number series only one number is wrong . Find out the wrong number
`2 " "10" "18" "54" "162" "486" "1458`

Options

A. 18
B. 54
C. 162
D. 10

Answer

To find the wrong number in the series `2, 10, 18, 54, 162, 486, 1458`, we will analyze the pattern in the series step by step.

### Step 1: Identify the pattern
First, we will look for a pattern in the series. We can check if there is a multiplication or addition pattern between consecutive numbers.

### Step 2: Check the first few terms
- The first term is 2.
- The second term is 10.

Let's see how we can get from 2 to 10:
- If we multiply 2 by 3, we get 6, which is not equal to 10.
- If we multiply 2 by 5, we get 10.

So, we can say that 2 * 5 = 10.

### Step 3: Check the next term
Now, let's check the next term:
- The third term is 18.

If we take the second term (10) and multiply it by 1.8, we get 18:
- 10 * 1.8 = 18.

### Step 4: Check the next term
Now, let's check the fourth term:
- The fourth term is 54.

If we take the third term (18) and multiply it by 3, we get:
- 18 * 3 = 54.

### Step 5: Continue checking the pattern
Now, let's check the fifth term:
- The fifth term is 162.

If we take the fourth term (54) and multiply it by 3:
- 54 * 3 = 162.

### Step 6: Check the sixth term
Now, let's check the sixth term:
- The sixth term is 486.

If we take the fifth term (162) and multiply it by 3:
- 162 * 3 = 486.

### Step 7: Check the seventh term
Now, let's check the seventh term:
- The seventh term is 1458.

If we take the sixth term (486) and multiply it by 3:
- 486 * 3 = 1458.

### Conclusion
From our analysis, we can see that the correct pattern should have been:
- 2 * 5 = 10 (but this is not consistent with the next terms)
- 2 * 3 = 6 (this should be the second term)
- 6 * 3 = 18
- 18 * 3 = 54
- 54 * 3 = 162
- 162 * 3 = 486
- 486 * 3 = 1458

Thus, the second term (10) is incorrect. It should be 6 instead.

### Final Answer
The wrong number in the series is **10**.

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