What will come in place of question. Mark (?) in the following series questions?
7,14,28,?,112,224

Options

A. A)56
B. B)64
C. C)58
D. D)62

Answer

To solve the problem of finding the missing term in the series 7, 14, 28, ?, 112, 224, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Pattern**:
- Look at the given series: 7, 14, 28, ?, 112, 224.
- Notice how each term relates to the previous one.

2. **Calculate the Multiplication Factor**:
- From 7 to 14:
\[ 14 = 7 \times 2 \]
- From 14 to 28:
\[ 28 = 14 \times 2 \]

3. **Apply the Same Pattern**:
- The pattern observed is that each term is multiplied by 2 to get the next term.
- Therefore, to find the missing term (let's denote it as K):
\[ K = 28 \times 2 \]

4. **Calculate K**:
- Performing the multiplication:
\[ K = 28 \times 2 = 56 \]

5. **Verify the Next Terms**:
- Now, check if this value fits the pattern:
- From K (56) to 112:
\[ 112 = 56 \times 2 \]
- From 112 to 224:
\[ 224 = 112 \times 2 \]
- This confirms that the pattern holds true.

6. **Conclusion**:
- The missing term in the series is **56**.

### Final Answer:
The value that comes in place of the question mark (?) is **56**.

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