题型:解答题 题类:其他 难易度:较易
年份:2018
若数列\(\{a_{n}\}\)的前\(n\)项和\(S_{n}\)满足:\(S_{n}=2a_{n}-λ(λ > 0,n∈N*)\).
\((\)Ⅰ\()\)证明:数列\(\{a_{n}\}\)为等比数列,并求\(a_{n}\);
\((\)Ⅱ\()\)若\(λ=4\),\(b_{n}=\begin{cases}{a}_{n},n为奇数, \\ {\log }_{2}{a}_{n},n为偶数\end{cases} (n∈N*)\),求数列\(\{b_{n}\}\)的前\(n\)项和\(T_{n}\).
题型:解答题 题类:其他 难易度:较易
年份:2018
\((2)\)记数列\(\{b\)\({\,\!}_{n}\)\(\}\)的前\(n\)项和为\(S\)\({\,\!}_{n}\),求数列\(\left.\begin{matrix} \\ \end{matrix}\right\{ \dfrac{1}{S_{n}}\left\}\begin{matrix} \\ \end{matrix}\right.\)的前\(n\)项和\(T\)\({\,\!}_{n}\).