What value will come in place of question mark (?) in number-series given below- 144,73, 38.5, 22.25, ?, 12.5625

Options

A. A) 18.125
B. B) 14.225
C. C) 15.125
D. D) None of these

Answer

To solve the number series: 144, 73, 38.5, 22.25, ?, 12.5625, we need to identify the pattern in the series.

### Step-by-Step Solution:

1. **Identify the first term and its operation**:
- The first term is **144**.
- If we divide 144 by 2, we get **72**.
- However, the next term is **73**, which is **72 + 1**.

2. **Proceed to the second term**:
- The second term is **73**.
- Dividing 73 by 2 gives us **36.5**.
- The next term is **38.5**, which is **36.5 + 2**.

3. **Continue to the third term**:
- The third term is **38.5**.
- Dividing 38.5 by 2 gives us **19.25**.
- The next term is **22.25**, which is **19.25 + 3**.

4. **Next, analyze the fourth term**:
- The fourth term is **22.25**.
- Dividing 22.25 by 2 gives us **11.125**.
- The next term should be **11.125 + 4**.

5. **Calculate the missing term**:
- So, **11.125 + 4 = 15.125**. This is the value that should replace the question mark (?).

6. **Verify the next term**:
- The next term after the missing value (15.125) should be calculated to ensure it fits the series.
- Dividing 15.125 by 2 gives us **7.5625**.
- Adding 5 gives us **12.5625**, which is indeed the last term in the series.

### Conclusion:
The value that comes in place of the question mark (?) is **15.125**.