已知数列\(\{a_{n}\}\)满足\({a}_{1}=1,{a}_{n+1}-{a}_{n}=2 \)，等比数列\(\{b_{n}\}\)满足\({b}_{1}={a}_{1},{b}_{4}=8 \)．
\((1)\)求数列\(\{a\)\(n\)\(\}\)，\(\{b_{n}\}\)的通项公式；
\((2)\)设\({c}_{n}={a}_{n}+{b}_{n} \)，求数列\(\{c_{n}\}\)的前\(n\)项和\(S_{n}\)．