What is the missing number in 7, 14, ...., 56, 112?

Options

A. 21
B. 24
C. 25
D. 28

Answer

To find the missing number in the series 7, 14, __, 56, 112, we can follow these steps:

### Step 1: Identify the pattern in the series
We start by observing the numbers given: 7, 14, __, 56, 112.

### Step 2: Check the relationship between the numbers
- The first number is 7.
- The second number is 14, which is obtained by multiplying 7 by 2:
\[ 7 \times 2 = 14 \]

### Step 3: Continue the pattern
Next, we can check the next number in the series:
- The fourth number is 56, which can be obtained by multiplying 28 (the missing number) by 2:
\[ 28 \times 2 = 56 \]

### Step 4: Find the missing number
Now, we can find the missing number by continuing the pattern:
- The third number (the missing number) can be found by multiplying the second number (14) by 2:
\[ 14 \times 2 = 28 \]

### Step 5: Verify the last number
Finally, we can verify the last number:
- The last number is 112, which is obtained by multiplying 56 by 2:
\[ 56 \times 2 = 112 \]

Thus, the missing number in the series is **28**.

### Final Answer:
The missing number is **28**.

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