在①\(a_{1}\),\(a_{3}\)的等差中项是\(3\),②\(a_{2}\),\(a_{4}\)的等比中项是\(a_{1}^{2}\),③\(a_{1}+a_{3}+a_{5}=14.\)
这三个条件中任选择两个,补充在下面问题中并解答.如果选多种方案解答,按第一种方案计分.
已知正项等比数列\(\{a_{n}\}\)满足 _____,____.
\((1)\)求数列\(\{a_{n}\}\)的通项公式;
\((2)\)记数列\(\{a_{n}\}\)的前\(n\)项积为\(T_{n}\),求数列\(\{\dfrac{1}{\log_{2}T_{n}}\}\)的前\(n\)项和\(S_{n}.\)