已知公差非零的等差数列\(\{a _{n} \}\)的前\(n\)项和为\(S _{n} (n∈N*)\)，且\(a _{1}\)，\(a _{2}\)，\(a _{4}\)成等比数列，且\(S _{4} =10\)，数列\(\{b _{n} \}\)满足\(b _{1} =2\)，\(b_{n}-b_{n-1}=2^{n-1}(n\geqslant 2,n∈N^{*})\)．
\((1)\)求数列\(\{a _{n} \}\)和\(\{b _{n} \}\)的通项公式；
\((2)\)设数列\(\{c _{n} \}\)满足\(c_{n}= \dfrac {\ln a_{n}}{b_{n}},(n∈N^{+})\)，求证：\((1- \dfrac {1}{2^{n-1}} )\boldsymbol{⋅}\ln \sqrt {2} \leqslant c _{2} +…+c _{n} < \dfrac {3}{4}\)，\((n∈N ^{*} , n\geqslant 2)\)．