190, 94, 46, 22, ?, 4

Options

A. 12
B. 14
C. 10
D. 8

Explanation

To solve the series: 190, 94, 46, 22, ?, 4, we need to identify the pattern in the sequence.

### Step-by-Step Solution:

1. **Identify the pattern**:
- Start with the first two numbers: 190 and 94.
- Notice that 94 is derived from 190 by taking half of 190 and then subtracting 1.
- Calculation: (190 / 2) - 1 = 95 - 1 = 94.

2. **Continue with the next pair**:
- Now look at 94 and 46.
- Again, apply the same operation: (94 / 2) - 1.
- Calculation: (94 / 2) - 1 = 47 - 1 = 46.

3. **Next pair**:
- Now consider 46 and 22.
- We apply the same operation: (46 / 2) - 1.
- Calculation: (46 / 2) - 1 = 23 - 1 = 22.

4. **Find the missing number**:
- Now we need to find the number after 22.
- Following the established pattern: (22 / 2) - 1.
- Calculation: (22 / 2) - 1 = 11 - 1 = 10.

5. **Verify with the last number**:
- The next number after our missing number (10) should lead us to 4.
- Check: (10 / 2) - 1.
- Calculation: (10 / 2) - 1 = 5 - 1 = 4.

Thus, the missing number in the series is **10**.