Using the principle of mathematical induction, find the value of \(\frac{1}{{1.2.3}}\; + \;\frac{1}{{2.3.4}}\; + \; \ldots \frac{1}{{\left\{ {n\left( {n\; + \;1} \right)\left( {n\; + \;2} \right)} \right\}}}\)
1
\(\frac{n (n+1)}{4(n +2)(n +3)}\)
2
\(\frac{n (n+3)}{4(n +1)(n +2)}\)
3
\(\frac{n (n+2)}{4(n +1)(n +3)}\)
4
None of the above
5
Not Attempted