1 3 10 36 152 760 4632

Options

A. 3
B. 36
C. 4632
D. 760

Explanation

To determine the wrong number in the series: 1, 3, 10, 36, 152, 760, 4632, we will analyze the pattern step by step.

### Step-by-Step Solution:

1. **Identify the Series**: The given series is:
\[ 1, 3, 10, 36, 152, 760, 4632 \]

2. **Calculate Differences**:
- First, we will find the differences between consecutive terms:
- \(3 - 1 = 2\)
- \(10 - 3 = 7\)
- \(36 - 10 = 26\)
- \(152 - 36 = 116\)
- \(760 - 152 = 608\)
- \(4632 - 760 = 3772\)
- The differences are:
\[ 2, 7, 26, 116, 608, 3772 \]

3. **Look for a Pattern**:
- The differences do not show a clear linear pattern, so we will try to find a multiplicative pattern.
- Let's analyze how each term can be derived from the previous term:
- \(1 \times 2 + 1 = 3\)
- \(3 \times 3 + 1 = 10\)
- \(10 \times 3 + 6 = 36\)
- \(36 \times 4 + 8 = 152\)
- \(152 \times 5 + 10 = 760\) (This is where we will check)
- \(760 \times 6 + 12 = 4632\)

4. **Check the Pattern**:
- Following the pattern:
- From \(1\) to \(3\): \(1 \times 2 + 1\)
- From \(3\) to \(10\): \(3 \times 3 + 1\)
- From \(10\) to \(36\): \(10 \times 3 + 6\)
- From \(36\) to \(152\): \(36 \times 4 + 8\)
- From \(152\) to \(760\): \(152 \times 5 + 10\) should equal \(770\) instead of \(760\).

5. **Identify the Incorrect Term**:
- According to our calculations, the term \(760\) should actually be \(770\). Therefore, \(760\) is the incorrect term in the series.

### Conclusion:
The wrong number in the series is:
\[ \text{760} \]