14, 8, 6 ,6, 7 ?

Options

A. 6.5
B. 7.5
C. 8.5
D. 9.5

Explanation

To solve the series: 14, 8, 6, 6, 7, ?, we need to identify the pattern in the sequence.

### Step-by-step Solution:

1. **Identify the first number and its operation**:
- Start with the first number: 14.
- Divide it by 2: \( 14 \div 2 = 7 \).
- Add 1 to the result: \( 7 + 1 = 8 \).

2. **Move to the second number**:
- The second number is 8.
- Divide it by 2: \( 8 \div 2 = 4 \).
- Add 2 to the result: \( 4 + 2 = 6 \).

3. **Move to the third number**:
- The third number is 6.
- Divide it by 2: \( 6 \div 2 = 3 \).
- Add 3 to the result: \( 3 + 3 = 6 \) (the same number).

4. **Move to the fourth number**:
- The fourth number is again 6.
- Divide it by 2: \( 6 \div 2 = 3 \).
- Add 4 to the result: \( 3 + 4 = 7 \).

5. **Move to the fifth number**:
- The fifth number is 7.
- Divide it by 2: \( 7 \div 2 = 3.5 \).
- Add 5 to the result: \( 3.5 + 5 = 8.5 \).

6. **Conclusion**:
- The value that replaces the question mark is \( 8.5 \).

### Final Answer:
The value that replaces the question mark is **8.5**.

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