What will come in place of question mark (?) in the given question
13 ? 34 62 118 230

Options

A. 24
B. 18
C. 15
D. 20

Answer

To find the missing number in the series: 13, ?, 34, 62, 118, 230, we will identify the pattern in the series.

### Step-by-Step Solution:

1. **Identify the pattern**: We need to find a relationship between the numbers in the series. We will look for a formula or a consistent operation that connects consecutive numbers.

2. **Examine the relationship between known numbers**:
- From 34 to 62:
\[ 62 = 34 \times 2 - 6 \]
- From 62 to 118:
\[ 118 = 62 \times 2 - 6 \]
- From 118 to 230:
\[ 230 = 118 \times 2 - 6 \]

3. **Establish the formula**: The pattern we observe is:
\[ \text{Next number} = \text{Current number} \times 2 - 6 \]

4. **Apply the formula backwards**: Now we will apply this formula to find the missing number (denoted as ?):
- From 13 to ?:
\[ ? = 13 \times 2 - 6 \]
- Calculate:
\[ ? = 26 - 6 = 20 \]

5. **Verify the result**: We should check if our found number (20) fits the established pattern:
- From 20 to 34:
\[ 34 = 20 \times 2 - 6 \]
- Calculate:
\[ 20 \times 2 = 40 \]
\[ 40 - 6 = 34 \]
- This confirms our calculation is correct.

### Conclusion:
The missing number in the series is **20**.