已知数列\(\{a_{n}\}\)的前\(n\)项和为\(S_{n}\)满足:\(S_{n}= \dfrac {a}{a-1}(a_{n}-1)(a\)为常数,且\(a\neq 0\),\(a\neq 1)\)
\((1)\)若\(a=2\),求数列\(\{a_{n}\}\)的通项公式
\((2)\)设\(b_{n}= \dfrac {2S_{n}}{a_{n}}+1\),若数列\(\{b_{n}\}\)为等比数列,求\(a\)的值.
\((3)\)在满足条件\((2)\)的情形下,设\(c_{n}= \dfrac {1}{1+a_{n}}+ \dfrac {1}{1-a_{n+1}}\),数列\(\{c_{n}\}\)前\(n\)项和为\(T_{n}\),求证\(T_{n} > 2n- \dfrac {1}{3}\).