What will come in place of the question mark (?) in each of the following number series?
10 28 82 244 ?

Options

A. 725
B. 735
C. 740
D. 730

Answer

To find the missing number in the series 10, 28, 82, 244, ?, we can look for a pattern in the numbers.

1. **Step 1: Identify the pattern**
- The first number is 10.
- The second number is 28.
- The third number is 82.
- The fourth number is 244.
- We need to find the fifth number.

2. **Step 2: Analyze the relationship between consecutive numbers**
- Let's see how we can get from one number to the next:
- From 10 to 28:
\[ 10 \times 3 - 2 = 30 - 2 = 28 \]
- From 28 to 82:
\[ 28 \times 3 - 2 = 84 - 2 = 82 \]
- From 82 to 244:
\[ 82 \times 3 - 2 = 246 - 2 = 244 \]

3. **Step 3: Apply the same pattern to find the next number**
- Now, we will apply the same operation to 244:
\[ 244 \times 3 - 2 \]
- First, calculate \(244 \times 3\):
\[ 244 \times 3 = 732 \]
- Now subtract 2:
\[ 732 - 2 = 730 \]

4. **Step 4: Conclusion**
- Therefore, the missing number in the series is 730.

So, the answer is 730.