题型:选择题 题类:其他 难易度:较易
测年份:2018
定义\(\dfrac{n}{{{p}_{1}}+{{p}_{2}}+\cdots +{{p}_{n}}}\)为\(n\)个正整数\({{p}_{1}},{{p}_{2}},\cdots ,{{p}_{n}}\)的“均倒数”,若已知数列\(\left\{ {{a}_{n}} \right\}\)的前\(n\)项的“均倒数”为\(\dfrac{1}{5n}\),又\({{b}_{n}}=\dfrac{{{a}_{n}}}{5}\),则\(\dfrac{1}{{{b}_{1}}{{b}_{2}}}+\dfrac{1}{{{b}_{2}}{{b}_{3}}}+\cdots +\dfrac{1}{{{b}_{10}}{{b}_{11}}}=\) \((\) \()\)
题型:选择题 题类:其他 难易度:较易
测年份:2018
设\(\left\{ {{a}_{n}} \right\}\)是公差不为\(0\)的等差数列,\({{a}_{1}}=2\),\({{a}_{1}},{{a}_{3}},{{a}_{6}}\)成等比数列,则\(\left\{ {{a}_{n}} \right\}\)的前\(n\)项和\({{S}_{n}}=\) \((\) \()\)
题型:选择题 题类:其他 难易度:较易
测年份:2018
已知数列\(\left\{ a_{n} \right\}\)满足\(a_{1}{=}\dfrac{1}{2}{,}a_{n{+}1}{=}3a_{n}{+}1{,}\)数列\(\left\{ a_{n} \right\}\)的前\(n\)项和为\(S_{n}\),则\(S_{2016}({ })\)