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若称为n个正数,a1,a2…,an的“均倒数”,数列{an}的各项均为正,但其前n项的“均...
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若称
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFEAAAAqCAYAAADLarc0AAAAAXNSR0IArs4c6QAAAARnQU1BAACx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)
为n个正数,a
1,a
2…,a
n的“均倒数”,数列{a
n}的各项均为正,但其前n项的“均倒数”为
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAjCAYAAABsFtHvAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAASdJREFU
WEftV9sRhCAM5FqmHTqhjlRBEzkWlBERNdE7PpQZZ3wASzZLWD8cmxnVAD6qmVHAiXEVePBsjWUf
VKPLIDk4OWgkXiPA07qJ3Qt+Ie3ynL+0P09wqcBgn+fLkV5xSsHpAZcjX/B7eBTOAhtRxPPPe/2R
Koyw1/3pgisGIebfer5oUFqWO87HMD6UMgWTEBdwpWytoXecjwlEVaTB2x9Ev+18WsFhpWsmSg0P
7K2mpp8EJ7c+LDDQRdcG4GwawY6NN+jbrQ1V6s6AV/mfkod3UYTezW41Ry+TxSE4JkWEdUsaWB6d
02JkO+IAnEpkS/A2yplyWZHbAceEdYpcfm6inPNO7EW/Kx3wbdFk+psoi4tp09NlYsf5PL22y9Rz
W++htH8B65xcQa/K4LIAAAAASUVORK5CYII=
)
,则数列{a
n}的通项公式为( )
A.2n-1
B.4n-3
C.4n-1
D.4n-5
相关试题
-
当p1,p2,…,pn均为正数时,称
为p1,p2,…,pn的“均倒数”、已知数列{an}的各项均为正数,且其前n项的“均倒数”为
,
(Ⅰ)试求数列{an}的通项公式;
(Ⅱ)设
,试判断并说明cn+1-cn(n∈N*)的符号;
(Ⅲ)已知
,记数列{bn}的前n项和为Sn,试求
的值.
-
当p1,p2,…,pn均为正数时,称
为p1,p2,…,pn的“均倒数”.已知数列{an}的各项均为正数,且其前n项的“均倒数”为
.
(Ⅰ)试求数列{an}的通项公式;
(Ⅱ)设
,试判断并说明cn+1-cn(n∈N*)的符号;
(Ⅲ)已知
,记数列{bn}的前n项和为Sn,试求
的值;
(Ⅳ)设函数
,是否存在最大的实数λ,使当x≤λ时,对于一切正整数n,都有f(x)≤0恒成立?
-
定义:称
为n个正数p1,p2,…pn的“均倒数”.若已知数列{an}的前n项的“均倒数”为
.
(Ⅰ)求数列{an}的通项公式;
(Ⅱ)设
,试求数列{dn}的前n项和Tn.
-
若称
为n个正数,a1,a2…,an的“均倒数”,数列{an}的各项均为正,但其前n项的“均倒数”为
,则数列{an}的通项公式为( )
A.2n-1
B.4n-3
C.4n-1
D.4n-5
-
若称
为n个正数,a1,a2…,an的“均倒数”,数列{an}的各项均为正,但其前n项的“均倒数”为
,则数列{an}的通项公式为( )
A.2n-1
B.4n-3
C.4n-1
D.4n-5
-
若称
为n个正数,a1,a2…,an的“均倒数”,数列{an}的各项均为正,但其前n项的“均倒数”为
,则数列{an}的通项公式为( )
A.2n-1
B.4n-3
C.4n-1
D.4n-5
-
定义:称
为n个正数a1,a2,…,an的“均倒数”,已知正项数列{an}的前n项的“均倒数”为
,则![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACAAAAAhCAYAAAC4JqlRAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAVZJREFU
WEftl+uNxCAMhLmWaceduI5UQRNeBvP0KQl3yi77g0jRBgXwl7GB2R+Jl1t5AWDl5S6DBxbvnNCB
XkHYO/EcHuU9B8jBY3YWAaSP7hV49MPrZNcpkEOoKrAaoFcjPXvhoIBIk0uF0tqztTKnAGsqUj10
z85RDIm4pBBDO7+7EW4OQKO0dFQF8ux37QuIDfDNCujOp8V1dpuVYFdGKcr/18B71n4/600KNsBW
YCuwFfiIAsVEjGf7rKFQO4AteYQ9qDcq6NO2837uvBNGCM8SYCzgbMrvtAA4NzqIOF6dtJoVIhiW
ZlAC+/peAWInH50O5VGgBSU6Xh9Gvw8pHcfqlCqDtfOHcJYsAag8hdB8zZQK45gRACm2KRoATAfY
K6RjKnBR2QRIiuoMSUVi4XiXOccUmIB4+ZcCPONs6cvKdn90hiK0AUu1PgExI+L2A8sVeAGCIsE1
GYQnawAAAABJRU5ErkJggg==
)
( )
A.0
B.1
C.2
D.
-
定义:称
为n个正数a1,a2,…,an的“均倒数”,已知正项数列{an}的前n项的“均倒数”为
,则![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACAAAAAhCAYAAAC4JqlRAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAVZJREFU
WEftl+uNxCAMhLmWaceduI5UQRNeBvP0KQl3yi77g0jRBgXwl7GB2R+Jl1t5AWDl5S6DBxbvnNCB
XkHYO/EcHuU9B8jBY3YWAaSP7hV49MPrZNcpkEOoKrAaoFcjPXvhoIBIk0uF0tqztTKnAGsqUj10
z85RDIm4pBBDO7+7EW4OQKO0dFQF8ux37QuIDfDNCujOp8V1dpuVYFdGKcr/18B71n4/600KNsBW
YCuwFfiIAsVEjGf7rKFQO4AteYQ9qDcq6NO2837uvBNGCM8SYCzgbMrvtAA4NzqIOF6dtJoVIhiW
ZlAC+/peAWInH50O5VGgBSU6Xh9Gvw8pHcfqlCqDtfOHcJYsAag8hdB8zZQK45gRACm2KRoATAfY
K6RjKnBR2QRIiuoMSUVi4XiXOccUmIB4+ZcCPONs6cvKdn90hiK0AUu1PgExI+L2A8sVeAGCIsE1
GYQnawAAAABJRU5ErkJggg==
)
( )
A.0
B.1
C.2
D.
-
定义:称
为n个正数a1,a2,…,an的“均倒数”,已知正项数列{an}的前n项的“均倒数”为
,则![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACAAAAAhCAYAAAC4JqlRAAAAAXNSR0IArs4c6QAAAARnQU1BAACx
jwv8YQUAAAAgY0hSTQAAeiYAAICEAAD6AAAAgOgAAHUwAADqYAAAOpgAABdwnLpRPAAAAVZJREFU
WEftl+uNxCAMhLmWaceduI5UQRNeBvP0KQl3yi77g0jRBgXwl7GB2R+Jl1t5AWDl5S6DBxbvnNCB
XkHYO/EcHuU9B8jBY3YWAaSP7hV49MPrZNcpkEOoKrAaoFcjPXvhoIBIk0uF0tqztTKnAGsqUj10
z85RDIm4pBBDO7+7EW4OQKO0dFQF8ux37QuIDfDNCujOp8V1dpuVYFdGKcr/18B71n4/600KNsBW
YCuwFfiIAsVEjGf7rKFQO4AteYQ9qDcq6NO2837uvBNGCM8SYCzgbMrvtAA4NzqIOF6dtJoVIhiW
ZlAC+/peAWInH50O5VGgBSU6Xh9Gvw8pHcfqlCqDtfOHcJYsAag8hdB8zZQK45gRACm2KRoATAfY
K6RjKnBR2QRIiuoMSUVi4XiXOccUmIB4+ZcCPONs6cvKdn90hiK0AUu1PgExI+L2A8sVeAGCIsE1
GYQnawAAAABJRU5ErkJggg==
)
( )
A.0
B.1
C.2
D.
-
定义:称
为n个正数p1,p2,…pn的“均倒数”.若已知数列{an}的前n项的“均倒数”为
.
(1)求数列{an}的通项公式;
(2)设
,试判定数列{cn}的单调性;
(3)设
,试求数列{dn}的前n项和Tn.