Find out the missing numbers:
100, 50, 52, 26, 28, .......

Options

A. 30
B. 36
C. 14
D. 32

Explanation

To find the missing number in the sequence: 100, 50, 52, 26, 28, ..., we will analyze the pattern step by step.

### Step-by-Step Solution:

1. **Identify the first two numbers:**
- The first number is 100 and the second number is 50.
- To get from 100 to 50, we divide 100 by 2.
- Calculation: \( 100 \div 2 = 50 \)

2. **Identify the next two numbers:**
- The next number after 50 is 52.
- To get from 50 to 52, we add 2.
- Calculation: \( 50 + 2 = 52 \)

3. **Identify the next two numbers:**
- The number after 52 is 26.
- To get from 52 to 26, we divide 52 by 2.
- Calculation: \( 52 \div 2 = 26 \)

4. **Identify the next two numbers:**
- The next number after 26 is 28.
- To get from 26 to 28, we add 2.
- Calculation: \( 26 + 2 = 28 \)

5. **Determine the next number in the sequence:**
- Following the established pattern, after adding 2, we will divide the last number (28) by 2.
- Calculation: \( 28 \div 2 = 14 \)

6. **Conclusion:**
- The missing number in the sequence is 14.

### Final Answer:
The missing number is **14**.