2, 5, 11, 22, 32, 47

Options

A. 2
B. 11
C. 22
D. 32

Explanation

To solve the series: 2, 5, 11, 22, 32, 47, we need to identify the pattern in the sequence of numbers.

### Step-by-Step Solution:

1. **Identify the Differences:**
- Start with the first two numbers:
- \(5 - 2 = 3\)
- Next, look at the second and third numbers:
- \(11 - 5 = 6\)
- Then, look at the third and fourth numbers:
- \(22 - 11 = 11\)
- Next, look at the fourth and fifth numbers:
- \(32 - 22 = 10\)
- Finally, look at the fifth and sixth numbers:
- \(47 - 32 = 15\)

So, the differences are: 3, 6, 11, 10, 15.

2. **Analyze the Pattern in Differences:**
- The differences themselves seem to follow a pattern:
- From 3 to 6, we add 3.
- From 6 to 11, we add 5.
- From 11 to 10, we subtract 1.
- From 10 to 15, we add 5.

This does not seem to be a consistent pattern, so let's look at the differences again more closely.

3. **Re-evaluate the Differences:**
- Let's check the differences again:
- \(5 - 2 = 3\)
- \(11 - 5 = 6\)
- \(22 - 11 = 11\)
- \(32 - 22 = 10\)
- \(47 - 32 = 15\)

The differences are: 3, 6, 11, 10, 15.

4. **Look for a Consistent Pattern:**
- If we look at the differences again, we notice:
- The first difference is 3.
- The second difference is 6.
- The third difference should logically be 9 (if we continue the pattern of adding 3).
- The fourth difference should be 12.
- The fifth difference should be 15.

5. **Identify the Error:**
- If we follow the pattern of adding 3, 6, 9, 12, and 15:
- Starting from 2:
- \(2 + 3 = 5\)
- \(5 + 6 = 11\)
- \(11 + 9 = 20\) (this is where the error occurs)
- \(20 + 12 = 32\)
- \(32 + 15 = 47\)

6. **Conclusion:**
- The number 22 in the series is incorrect. It should be 20. Therefore, the wrong number in the series is 22.

### Final Answer:
The wrong number in the series is **22**.