445,221,109,46,25,11,4

Options

A. 221
B. 109
C. 46
D. 25

Answer

To solve the problem of identifying the odd term out in the series: 445, 221, 109, 46, 25, 11, 4, we will analyze the pattern in the series step by step.

### Step-by-Step Solution:

1. **Write down the series**:
The series given is: 445, 221, 109, 46, 25, 11, 4.

2. **Identify a potential pattern**:
We will look for a consistent mathematical operation that could relate each term to the next. A common approach is to check if each term can be derived from the previous term through multiplication and addition.

3. **Check the pattern**:
Let's analyze the terms in reverse order (from 4 to 445) to see if we can find a pattern:
- Starting from 4:
- \( 4 \times 2 + 3 = 8 + 3 = 11 \)
- \( 11 \times 2 + 3 = 22 + 3 = 25 \)
- \( 25 \times 2 + 3 = 50 + 3 = 53 \)
- \( 53 \times 2 + 3 = 106 + 3 = 109 \)
- \( 109 \times 2 + 3 = 218 + 3 = 221 \)
- \( 221 \times 2 + 3 = 442 + 3 = 445 \)

4. **Identify the inconsistency**:
Now, we notice that while the pattern holds for most terms, when we reach 25:
- The expected term after 25 should be 53 (as calculated), but the series has 46 instead.

5. **Conclusion**:
Therefore, the term that does not fit the pattern is 46. The correct term should be 53.

### Final Answer:
The odd term out in the series is **46**.