已知数列\(\{a_{n}\}\)，\(\{b_{n}\}\)，\(\{c_{n}\}\)满足\(∀n\in N*\)，\(b_{n}=a_{2n-1}\)，\(c_{n}=a_{2n}\)，\(b_{n+1}=b_{n}+2\)，\(c_{n+1}=2+c_{1}+c_{2}+\)…\(+c_{n}\)，\(a_{1}=a_{2}=2.\)
\((1)\)求数列\(\{b_{n}\}\)，\(\{c_{n}\}\)的通项公式；
\((2)\)求数列\(\{a_{n}\}\)的前\(20\)项的和．