在公差不为零的等差数列\(\{a_{n}\}\)中，已知\(a_{1}=1\)，且\(a_{1}\)，\(a_{2}\)，\(a_{5}\)依次成等比数列\(.\)数列\(\{b_{n}\}\)满足\(b_{n+1}=2b_{n}-1\)，且\(b_{1}=3\)．
\((1)\)求数列\(\{a_{n}\}\)，\(\{b_{n}\}\)的通项公式；
\((2)\)求数列\(\{a_{n}(b_{n}-1)\}\)的前\(n\)项和为\(S_{n}\)．