若\(x_{i} > 0(i=1,2,3,…,n)\)，观察下列不等式：\((x_{1}+x_{2})( \dfrac {1}{x_{1}}+ \dfrac {1}{x_{2}})\geqslant 4\)，\((x_{1}+x_{2}+x_{3})( \dfrac {1}{x_{1}}+ \dfrac {1}{x_{2}}+\; \dfrac {1}{x_{3}})\geqslant 9\)，\(…\)，

请你猜测\((x_{1}+x_{2}+…+x_{n})( \dfrac {1}{x_{1}}+ \dfrac {1}{x_{2}}+…+ \dfrac {1}{x_{n}})\)满足的不等式，并用数学归纳法加以证明．