Insert the missing number x if 3 18 12 72 66 396 x

Options

A. 300
B. 380
C. 350
D. 390

Answer

To find the missing number \( x \) in the sequence \( 3, 18, 12, 72, 66, 396, x \), we can analyze the pattern in the series step by step.

### Step 1: Identify the Pattern
Let's look at the numbers in the sequence:
- The first number is \( 3 \).
- The second number is \( 18 \).

We can see that \( 18 \) is obtained by multiplying \( 3 \) by \( 6 \):
\[ 3 \times 6 = 18 \]

### Step 2: Continue the Pattern
Next, we have the number \( 12 \):
- To get from \( 18 \) to \( 12 \), we can subtract \( 6 \):
\[ 18 - 6 = 12 \]

### Step 3: Next Number
Now, let's find the next number after \( 12 \):
- From \( 12 \) to \( 72 \), we multiply by \( 6 \):
\[ 12 \times 6 = 72 \]

### Step 4: Continue the Pattern
Next, we have \( 66 \):
- To get from \( 72 \) to \( 66 \), we subtract \( 6 \):
\[ 72 - 6 = 66 \]

### Step 5: Next Number
Now, let's find the next number after \( 66 \):
- From \( 66 \) to \( 396 \), we multiply by \( 6 \):
\[ 66 \times 6 = 396 \]

### Step 6: Find the Missing Number \( x \)
Now, we need to find \( x \):
- To get from \( 396 \) to \( x \), we subtract \( 6 \):
\[ 396 - 6 = 390 \]

Thus, the missing number \( x \) is \( 390 \).

### Final Answer
The missing number \( x \) is \( 390 \).

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