等差数列\(\{a _{n} \}\)和等比数列\(\{b _{n} \}\)满足\(a _{1} =1\)，\(a _{1} b _{1} +a _{2} b _{2} +…+a _{n} b _{n} =(n-1)\boldsymbol{⋅}2 ^{n+1} +2\)．
\((\)Ⅰ\()\)求数列\(\{a _{n} \}\)，\(\{b _{n} \}\)的通项公式；
\((\)Ⅱ\()\)若数列\(\{c _{n} \}\)满足：\(b _{n} c _{n} =a _{n} +c _{n}\)，求证：\(c _{1} +c _{2} +…+c _{n} < 3\)．