已知数列\(\{ a_{n}\}\)
是等差数列,\(a_{1}{+}a_{2}{+}a_{3}{=}15\)
,数列\(\{ b_{n}\}\)
是等比数列,\(b_{1}b_{2}b_{3}{=}27\)
,且\(a_{1}{=}b_{2}{,}a_{4}{=}b_{3}\)
. \((1)\)
求数列\(\{ a_{n}\}\)
和\(\{ b_{n}\}\)
的通项公式; \((2)\)数列\(\{ c_{n}\}\)满足\(c_{n}{=}2a_{n}{+}b_{n}\),求数列\(\{ c_{n}\}\)的前\(n\)项和.