Observe the following pattern `(1xx2)+(2xx3)=(2xx3xx4)/3,` `(1xx2)+(2xx3)+(3xx4)=(3xx4xx5)/3,` `(1xx2)+(2xx3)+(3xx4)+(4xx5)=(4xx5xx6)/3` and find the value of `\ (1xx2)+(2xx3)+(3xx4)+(4xx5)+(5xx6)`

Explanation

To solve the problem step by step, we will first identify the pattern in the given equations and then apply it to find the value of \( (1 \times 2) + (2 \times 3) + (3 \times 4) + (4 \times 5) + (5 \times 6) \).

### Step-by-Step Solution:

1. **Identify the Pattern**:
The pattern given in the problem can be summarized as follows:
- For \( n = 2 \):
\[
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