Find the missing term in the following numbers series:
12,6.5,7.5,12.75,27.5,?

Options

A. A)66.5
B. B)68.75
C. C)63.75
D. D)71.25

Answer

To find the missing term in the series: 12, 6.5, 7.5, 12.75, 27.5, ?, we will analyze the pattern in the series step by step.

### Step 1: Identify the pattern
Let's examine how each term relates to the previous term.

1. **From 12 to 6.5**:
- We add 1 to 12, which gives us 13.
- Then, we multiply by 0.5:
\[ 13 \times 0.5 = 6.5 \]

2. **From 6.5 to 7.5**:
- We add 1 to 6.5, which gives us 7.5.
- Then, we multiply by 0.5 (0.5 more than 1):
\[ 7.5 \times 1 = 7.5 \]

3. **From 7.5 to 12.75**:
- We add 1 to 7.5, which gives us 8.5.
- Then, we multiply by 1.5:
\[ 8.5 \times 1.5 = 12.75 \]

4. **From 12.75 to 27.5**:
- We add 1 to 12.75, which gives us 13.75.
- Then, we multiply by 2:
\[ 13.75 \times 2 = 27.5 \]

### Step 2: Continue the pattern
Now, we will apply the same pattern to find the missing term after 27.5.

5. **From 27.5 to the missing term**:
- We add 1 to 27.5, which gives us 28.5.
- Then, we multiply by 2.5:
\[ 28.5 \times 2.5 = 71.25 \]

### Conclusion
The missing term in the series is **71.25**.

### Final Answer
The missing term is **71.25**.