If mth term of an AP is 1/n and its nth term is 1/m , then show that its (mn)th term is 1

Explanation

To solve the problem, we need to show that if the mth term of an arithmetic progression (AP) is \( \frac{1}{n} \) and the nth term is \( \frac{1}{m} \), then the mnth term is 1.

### Step-by-Step Solution:

1. **Define the terms of the AP:**
Let \( A \) be the first term of the AP and \( D \) be the common difference. The mth term of the AP can be expressed as:
\[
a_m = A + (m-1)D
...