1 4 25 256 3125 46656 823543

Options

A. 3125
B. 823543
C. 46656
D. 25

Explanation

To solve the problem of identifying the wrong number in the series: 1, 4, 25, 256, 3125, 46656, 823543, we will analyze the pattern of the series step by step.

### Step-by-Step Solution:

1. **Identify the Numbers**: The series given is:
- 1, 4, 25, 256, 3125, 46656, 823543

2. **Recognize the Pattern**: Notice that the numbers seem to be related to powers of integers. Let's express each number in terms of powers:
- \(1 = 1^1\)
- \(4 = 2^2\)
- \(25 = 5^2\)
- \(256 = 4^4\) (This seems unusual, let's check further)
- \(3125 = 5^5\)
- \(46656 = 6^6\)
- \(823543 = 7^7\)

3. **Check for Consistency**:
- The first number \(1\) is \(1^1\).
- The second number \(4\) is \(2^2\).
- The third number \(25\) is \(5^2\).
- The fourth number \(256\) is \(4^4\), which does not fit the pattern of increasing powers based on integers.
- The fifth number \(3125\) is \(5^5\).
- The sixth number \(46656\) is \(6^6\).
- The seventh number \(823543\) is \(7^7\).

4. **Identify the Anomaly**: The fourth number \(256\) does not fit the established pattern of \(n^n\) where \(n\) is an integer starting from 1. The expected number in this position should be \(3^3 = 27\).

5. **Conclusion**: The wrong number in the series is \(256\). The correct number should be \(27\).

### Final Answer:
The wrong number in the series is **256**, and it should be replaced with **27**.