Find the sum of \[\frac{1}{1\times 2 } + \frac{1}{ 2\times 3 } +\frac{ 1}{ 3\times 4} + \frac{1}{ 4\times 5} + \frac{1}{5\times 6}+\ldots+\frac{1}{99\times 100} \]
by
Satyen Nabar
