What will be come in place of the question mark (?) in the following number series
14 8 7 11.5 22 ?

Options

A. 54
B. 64
C. 62
D. 56

Answer

To solve the number series 14, 8, 7, 11.5, 22, ?, we need to identify the pattern in the series.

### Step-by-Step Solution:

1. **Identify the first transition (14 to 8)**:
- We can see that 14 is multiplied by 0.5 to get 7.
- Then, we add 1 to get 8.
- Calculation: \( 14 \times 0.5 + 1 = 7 + 1 = 8 \)

2. **Identify the second transition (8 to 7)**:
- Here, we multiply 8 by 1 to get 8.
- Then, we subtract 1 to get 7.
- Calculation: \( 8 \times 1 - 1 = 8 - 1 = 7 \)

3. **Identify the third transition (7 to 11.5)**:
- We multiply 7 by 1.5 to get 10.5.
- Then, we add 1 to get 11.5.
- Calculation: \( 7 \times 1.5 + 1 = 10.5 + 1 = 11.5 \)

4. **Identify the fourth transition (11.5 to 22)**:
- We multiply 11.5 by 2 to get 23.
- Then, we subtract 1 to get 22.
- Calculation: \( 11.5 \times 2 - 1 = 23 - 1 = 22 \)

5. **Identify the fifth transition (22 to ?)**:
- Now, we will multiply 22 by 2.5 to get 55.
- Then, we add 1 to get the final number.
- Calculation: \( 22 \times 2.5 + 1 = 55 + 1 = 56 \)

Thus, the missing number in the series is **56**.

### Final Answer:
The number that comes in place of the question mark (?) is **56**.