Find the wrong term in the following series 445,221, 109, 46 , 25 ,11 , 4

Options

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

Explanation

To find the wrong term 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. **Identify the Pattern**:
We need to find a consistent pattern in the series. Let's observe how each term relates to the next one.

2. **Examine the Relationship**:
- Starting from the last term and moving backward:
- From 4 to 11:
\[ 4 \times 2 + 3 = 8 + 3 = 11 \]
- From 11 to 25:
\[ 11 \times 2 + 3 = 22 + 3 = 25 \]
- From 25 to 46:
\[ 25 \times 2 + 3 = 50 + 3 = 53 \quad (\text{This is where we notice a discrepancy}) \]
- From 46 to 109:
\[ 46 \times 2 + 3 = 92 + 3 = 95 \quad (\text{This also does not fit}) \]
- From 109 to 221:
\[ 109 \times 2 + 3 = 218 + 3 = 221 \]
- From 221 to 445:
\[ 221 \times 2 + 3 = 442 + 3 = 445 \]

3. **Identify the Wrong Term**:
- The term 46 does not fit the pattern established by the previous terms. Instead, it should have been 53 based on the pattern of multiplying by 2 and adding 3.

4. **Conclusion**:
The wrong term in the series is **46**.