Question

Aratati ca $\frac{1}{n} - \frac{1}{n+1} = \frac{1}{n*(n+1)} ,pentru orice n$ ∈ N*

Answer 1

 $\frac{1}{n}^{(n+1)} - \frac{1}{n+1}^{(n}= \frac{n+1-n}{n(n+1)}= \frac{1}{n(n+1)} \ (c.c.t.d)$