题型:解答题 题类:月考试卷 难易度:较易
已知等比数列\(\left\{{a}_{n}\right\} \)的各项均为正数,且\(2{a}_{1}+3{a}_{2}=1,{{a}_{3}}^{2}=9{a}_{2}{a}_{6} \).
\((I)\)求数列\(\left\{{a}_{n}\right\} \)的通项公式.
\((II)\)设\({b}_{n}={\log }_{3}{a}_{1}+{\log }_{3}{a}_{2}+…+{\log }_{3}{a}_{n} \),判断并说明数列\(\left\{ \dfrac{1}{{b}_{n}}\right\} \)的前\(n\)项\({{T}_{{n}}}\)与\(-2\)大小.