What should come in place of question mark (?) in the following questions.
0.5,1,1.5,?,0.75

Options

A. 2
B. 1.5
C. 1.25
D. 1

Answer

To solve the series: 0.5, 1, 1.5, ?, 0.75, we need to identify the pattern in the sequence.

### Step-by-Step Solution:

1. **Identify the first term and the operation**:
- The first term is **0.5**.
- To get the second term (1), we can see that:
\[ 0.5 \times 2 = 1 \]
- So, the operation here is multiplying by 2.

**Hint**: Look for a consistent operation between the terms.

2. **Calculate the second term to the third term**:
- The second term is **1**.
- To find the third term (1.5), we apply the same operation:
\[ 1 \times 2 - 0.5 = 1.5 \]

**Hint**: Check if the operation changes slightly or remains consistent.

3. **Determine the next term (the question mark)**:
- The third term is **1.5**.
- To find the term that comes next (?), we apply the operation again:
\[ 1.5 \times 2 - 1.5 = 1.5 \]
- Thus, the term that replaces the question mark is **1.5**.

**Hint**: Use the previous term to find the next term by applying the identified operation.

4. **Verify the next term**:
- The next term after the question mark is **0.75**.
- Let's check if the operation holds:
\[ 1.5 \times 2 - 1.5 = 0.75 \]

**Hint**: Always verify your calculated term with the next known term.

5. **Final term check**:
- The last term in the series is **0**.
- To confirm:
\[ 0.75 \times 2 - 2 = 0 \]

**Hint**: Ensure the final term follows the same pattern to confirm the series is consistent.

### Conclusion:
The value that should come in place of the question mark (?) is **1.5**.