题型:解答题 题类:其他 难易度:易
已知等比数列\(\left\{{a}_{n}\right\} \)的各项均为正数,且\({{a}_{3}}^{2}=9{a}_{2}{a}_{6} \),\(2{a}_{1}+3{a}_{2}=1 \).
\((\)Ⅰ\()\)求数列\(\left\{{a}_{n}\right\} \)的通项公式;
\((\)Ⅱ\()\)设\({b}_{n}={\log }_{3}{a}_{1}+lo{g}_{3}{a}_{2}+……+lo{g}_{3}{a}_{n} \),求数列\(\left\{ \dfrac{1}{{b}_{n}}\right\} \)的前\(n\)项和\(S_{n}\).