Show with reccurence that 1/(1*2) + 1/(2*3) + ... + 1/n(n+1) = n/(n+1)
How to use Mathematical Induction to prove $\frac{1}{1 \cdot 2} + \frac{1}{2 \cdot 3} + \cdots + \frac{1}{n(n + 1)} = \frac{n}{n + 1}$?