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范文一：山东高考数学理科数列大题
(19)(本小题满分12分)
已知等差数列的公差为2，前项和为，且成等比数列. {}aSSSS,,nnn124
(?)求数列的通项公式; {}an
4nn,1(?)令，求数列的前项和. {}bT,,nb(1)nnnaann，1
Otherwise the pump should be checked again to install. 4.2.5.1 structure embedded phase 1, toilet drain structure places a waterproof steel bushings, measure width of the beam, use galvanized steel pipe welding and sealing rings, measure elevation on positions in the structure main bars of beams, welded prison using sawdust block. Hole thin iron sleeve construction, length about 200 mm, easy installation and handle construction, casing used touch Remover (available used oil paint), Eachd8, transfer and underground drainage pipe installation mounting, hang-dry pipe must first make an outline, the carrier according to the design of slope planted well hung code, pipe hangers, prefabricated piping Bay and state provision and other sanitary and drainage provision for finding sizes, clamp the connection interface. The connection between the pipe and the main pipe to ensure smooth, sloping according to design requirements, no camber behavior occurs. Buried trunk pipe supporting frame, before you install DUN, planted well pipe sizes, will be reserved for finding and fixed the pipe size, and then sealing with cement mortar. 9, after the construction of water testing, water testing and well outside through-ball after completion of construction. 10, construction notes: when using metal pipe clamps,
aSSS,4aa,，2120((本小题满分12分)设等差数列的前n项和为，且，. ,,nn422nn
a(?)求数列的通项公式; ,,n
a，1n*,bT，,Tcb,,(?)设数列前n项和为，且 (为常数).令.,,()nN,nnnnn2n2
cR求数列的前n项和。 ,,nn
Otherwise the pump should be checked again to install. 4.2.5.1 structure embedded phase 1, toilet drain structure places a waterproof steel bushings, measure width of the beam, use galvanized steel pipe welding and sealing rings, measure elevation on positions in the structure main bars of beams, welded prison using sawdust block. Hole thin iron sleeve construction, length about 200 mm, easy installation and handle construction, casing used touch Remover (available used oil paint), Eachd8, transfer and underground drainage pipe installation mounting, hang-dry pipe must first make an outline, the carrier according to the design of slope planted well hung code, pipe hangers, prefabricated piping Bay and state provision and other sanitary and drainage provision for finding sizes, clamp the connection interface. The connection between the pipe and the main pipe to ensure smooth, sloping according to design requirements, no camber behavior occurs. Buried trunk pipe supporting frame, before you install DUN, planted well pipe sizes, will be reserved for finding and fixed the pipe size, and then sealing with cement mortar. 9, after the construction of water testing, water testing and well outside through-ball after completion of construction. 10, construction notes: when using metal pipe clamps,
(20)(本小题满分12分)
在等差数列{a}中，a+a+a=84，a=73. n3459
(?)求数列{a}的通项公式; nm2m(?)对任意m?N,，将数列{a}中落入区间(9，9)内的项的个数记为bm，求数列{b}nm
的前m项和S。 m
Otherwise the pump should be checked again to install. 4.2.5.1 structure embedded phase 1, toilet drain structure places a waterproof steel bushings, measure width of the beam, use galvanized steel pipe welding and sealing rings, measure elevation on positions in the structure main bars of beams, welded prison using sawdust block. Hole thin iron sleeve construction, length about 200 mm, easy installation and handle construction, casing used touch Remover (available used oil paint), Eachd8, transfer and underground drainage pipe installation mounting, hang-dry pipe must first make an outline, the carrier according to the design of slope planted well hung code, pipe hangers, prefabricated piping Bay and state provision and other sanitary and drainage provision for finding sizes, clamp the connection interface. The connection between the pipe and the main pipe to ensure smooth, sloping according to design requirements, no camber behavior occurs. Buried trunk pipe supporting frame, before you install DUN, planted well pipe sizes, will be reserved for finding and fixed the pipe size, and then sealing with cement mortar. 9, after the construction of water testing, water testing and well outside through-ball after completion of construction. 10, construction notes: when using metal pipe clamps,
20. (本小题满分12分)等比数列中，分别是下表第一、二、三行中的某一aaaa,,,,n123
个数，且中的任何两个数不在下表的同一列( aaa,,123
第一列 第二列 第三列
310第一行 2
6第二行 414
9818第三行 (?)求数列的通项公式; a,,n
nbaa,，,1ln(?)若数列b满足:，求数列b的前项和( Sn，，,,,,nnnnnn
Otherwise the pump should be checked again to install. 4.2.5.1 structure embedded phase 1, toilet drain structure places a waterproof steel bushings, measure width of the beam, use galvanized steel pipe welding and sealing rings, measure elevation on positions in the structure main bars of beams, welded prison using sawdust block. Hole thin iron sleeve construction, length about 200 mm, easy installation and handle construction, casing used touch Remover (available used oil paint), Eachd8, transfer and underground drainage pipe installation mounting, hang-dry pipe must first make an outline, the carrier according to the design of slope planted well hung code, pipe hangers, prefabricated piping Bay and state provision and other sanitary and drainage provision for finding sizes, clamp the connection interface. The connection between the pipe and the main pipe to ensure smooth, sloping according to design requirements, no camber behavior occurs. Buried trunk pipe supporting frame, before you install DUN, planted well pipe sizes, will be reserved for finding and fixed the pipe size, and then sealing with cement mortar. 9, after the construction of water testing, water testing and well outside through-ball after completion of construction. 10, construction notes: when using metal pipe clamps,
(18)(本小题满分12分)
已知等差数列满足:的前项和为 {a}a,7,a，a,26.{a}S.nnn357n
(?)求及; San4
1* (?)令，求数列的前项和 b,{b}T.n(n,N)nnn2a,1n
Otherwise the pump should be checked again to install. 4.2.5.1 structure embedded phase 1, toilet drain structure places a waterproof steel bushings, measure width of the beam, use galvanized steel pipe welding and sealing rings, measure elevation on positions in the structure main bars of beams, welded prison using sawdust block. Hole thin iron sleeve construction, length about 200 mm, easy installation and handle construction, casing used touch Remover (available used oil paint), Eachd8, transfer and underground drainage pipe installation mounting, hang-dry pipe must first make an outline, the carrier according to the design of slope planted well hung code, pipe hangers, prefabricated piping Bay and state provision and other sanitary and drainage provision for finding sizes, clamp the connection interface. The connection between the pipe and the main pipe to ensure smooth, sloping according to design requirements, no camber behavior occurs. Buried trunk pipe supporting frame, before you install DUN, planted well pipe sizes, will be reserved for finding and fixed the pipe size, and then sealing with cement mortar. 9, after the construction of water testing, water testing and well outside through-ball after completion of construction. 10, construction notes: when using metal pipe clamps,
20. (2009山东理20)等比数列{}的前项和为，已知对任意的，点，
均在函数的图像上.
(?)求的值;
(?)当时，记
Otherwise the pump should be checked again to install. 4.2.5.1 structure embedded phase 1, toilet drain structure places a waterproof steel bushings, measure width of the beam, use galvanized steel pipe welding and sealing rings, measure elevation on positions in the structure main bars of beams, welded prison using sawdust block. Hole thin iron sleeve construction, length about 200 mm, easy installation and handle construction, casing used touch Remover (available used oil paint), Eachd8, transfer and underground drainage pipe installation mounting, hang-dry pipe must first make an outline, the carrier according to the design of slope planted well hung code, pipe hangers, prefabricated piping Bay and state provision and other sanitary and drainage provision for finding sizes, clamp the connection interface. The connection between the pipe and the main pipe to ensure smooth, sloping according to design requirements, no camber behavior occurs. Buried trunk pipe supporting frame, before you install DUN, planted well pipe sizes, will be reserved for finding and fixed the pipe size, and then sealing with cement mortar. 9, after the construction of water testing, water testing and well outside through-ball after completion of construction. 10, construction notes: when using metal pipe clamps,
(19)(本小题满分12分)
将数列,a,中的所有项按每一行比上一行多一项的规则排成如下数表: n
a1
aa2 3
aa a4 56
a a aa789 10
……
记表中的第一列数aaaa构成的数列为,b,,b=a=1. S为数列,b,的前n项，，，，…1247n11nn
2bn和，且满足,1=(n?2). 2bSS,nnN
1(?)证明数列,,成等差数列，并求数列,b,的通项公式; nSn
(?)上表中，若从第三行起，每一行中的数按从左到右的顺序均构成等比数列，且公
4a,,比为同一个正数.当时，求上表中第k(k?3)行所有项和的和. 8191
Otherwise the pump should be checked again to install. 4.2.5.1 structure embedded phase 1, toilet drain structure places a waterproof steel bushings, measure width of the beam, use galvanized steel pipe welding and sealing rings, measure elevation on positions in the structure main bars of beams, welded prison using sawdust block. Hole thin iron sleeve construction, length about 200 mm, easy installation and handle construction, casing used touch Remover (available used oil paint), Eachd8, transfer and underground drainage pipe installation mounting, hang-dry pipe must first make an outline, the carrier according to the design of slope planted well hung code, pipe hangers, prefabricated piping Bay and state provision and other sanitary and drainage provision for finding sizes, clamp the connection interface. The connection between the pipe and the main pipe to ensure smooth, sloping according to design requirements, no camber behavior occurs. Buried trunk pipe supporting frame, before you install DUN, planted well pipe sizes, will be reserved for finding and fixed the pipe size, and then sealing with cement mortar. 9, after the construction of water testing, water testing and well outside through-ball after completion of construction. 10, construction notes: when using metal pipe clamps,
(17)(本小题满分12分)
n21n,*设数列满足，( ，，，，,333…aa,Naaaa,,123nn3
(?)求数列的通项; a,,n
n(?)设，求数列的前项和( bSb,n,,nnnan
Otherwise the pump should be checked again to install. 4.2.5.1 structure embedded phase 1, toilet drain structure places a waterproof steel bushings, measure width of the beam, use galvanized steel pipe welding and sealing rings, measure elevation on positions in the structure main bars of beams, welded prison using sawdust block. Hole thin iron sleeve construction, length about 200 mm, easy installation and handle construction, casing used touch Remover (available used oil paint), Eachd8, transfer and underground drainage pipe installation mounting, hang-dry pipe must first make an outline, the carrier according to the design of slope planted well hung code, pipe hangers, prefabricated piping Bay and state provision and other sanitary and drainage provision for finding sizes, clamp the connection interface. The connection between the pipe and the main pipe to ensure smooth, sloping according to design requirements, no camber behavior occurs. Buried trunk pipe supporting frame, before you install DUN, planted well pipe sizes, will be reserved for finding and fixed the pipe size, and then sealing with cement mortar. 9, after the construction of water testing, water testing and well outside through-ball after completion of construction. 10, construction notes: when using metal pipe clamps,
2已知a=2，点(a,a)在函数f(x)=x+2x的图象上，其中=1，2，3，… 1nn+1
(1) 证明数列,lg(1+a),是等比数列; n
(2) 设T=(1+a) (1+a) …(1+a)，求T及数列,a,的通项; n12nnn
112(3) 记b=，求,b,数列的前项和S，并证明S+=1. ，nnnn3T,1aa，2nnn
Otherwise the pump should be checked again to install. 4.2.5.1 structure embedded phase 1, toilet drain structure places a waterproof steel bushings, measure width of the beam, use galvanized steel pipe welding and sealing rings, measure elevation on positions in the structure main bars of beams, welded prison using sawdust block. Hole thin iron sleeve construction, length about 200 mm, easy installation and handle construction, casing used touch Remover (available used oil paint), Eachd8, transfer and underground drainage pipe installation mounting, hang-dry pipe must first make an outline, the carrier according to the design of slope planted well hung code, pipe hangers, prefabricated piping Bay and state provision and other sanitary and drainage provision for finding sizes, clamp the connection interface. The connection between the pipe and the main pipe to ensure smooth, sloping according to design requirements, no camber behavior occurs. Buried trunk pipe supporting frame, before you install DUN, planted well pipe sizes, will be reserved for finding and fixed the pipe size, and then sealing with cement mortar. 9, after the construction of water testing, water testing and well outside through-ball after completion of construction. 10, construction notes: when using metal pipe clamps,
范文二：山东高考数学理科数列大题
（19）（本小题满分12分）
已知等差数列{a n }的公差为2，前n 项和为S n ，且S 1, S 2, S 4成等比数列. （Ⅰ）求数列{a n }的通项公式； （Ⅱ）令b n =(-1)
n -14n ，求数列{b n }的前n 项和T n . a n a n +1
20．（本小题满分12分）设等差数列{a n }的前n 项和为S n ，且S 4=4S 2，a 2n =2a n +1.
（Ⅰ）求数列{a n }的通项公式；
（Ⅱ）设数列{b n }前n 项和为T n ，且 T n +
求数列{c n }的前n 项和R n 。
a n +1=λ（λ为常数）. 令c n =b 2n (n ∈N *) . n 2
（20）（本小题满分12分）
在等差数列{an }中，a 3+a4+a5=84，a 9=73.
（Ⅰ）求数列{an }的通项公式；
（Ⅱ）对任意m ∈N ﹡，将数列{an }中落入区间（9m ，92m ）内的项的个数记为bm ，求数列{bm }的前m 项和S m 。
20. （本小题满分12分）等比数列{a n }中，a 1, a 2, a 3分别是下表第一、二、三行中的某一个数，且a 1, a 2, a 3中的任何两个数不在下表的同一列．
第一行
第二行
第三行 第一列 第二列 第三列 3 6 9 2 4 10 14 8 18 （Ⅰ）求数列{a n }的通项公式；
（Ⅱ）若数列{b n }满足：b n =a n +(-1)ln a n ，求数列{b n }的前n 项和S n ．
n
（18）（本小题满分12分）
已知等差数列{a n }满足：a 3=7, a 5+a 7=26.{a n }的前n 项和为S n . （Ⅰ）求a 4及S n ；
（Ⅱ）令b n =
1*(n ∈N ) ，求数列{b n }的前n 项和T n . 2a n -1
20. （2009山东理20）等比数列{均在函数
（Ⅰ）求的值； （Ⅱ）当
时，记
}的前项和为，已知对任意的，点，的图像上.
(19)(本小题满分12分)
将数列｛a n ｝中的所有项按每一行比上一行多一项的规则排成如下数表： a 1
a 2 a 3
a 4 a 5 a 6
a 7 a 8 a 9 a 10
……
记表中的第一列数a 1，a 2，a 4，a 7，…构成的数列为｛b n ｝, b 1=a 1=1. S n 为数列｛b n ｝的前n 项和，且满足＝2b n 1=（n ≥2）. 2b n S N -S n
1｝成等差数列，并求数列｛b n ｝的通项公式； S n
4时，求上表中第k (k ≥3) 行所有项和的和. 91(Ⅰ) 证明数列｛（Ⅱ）上表中，若从第三行起，每一行中的数按从左到右的顺序均构成等比数列，且公比为同一个正数. 当a 81=-
（17）（本小题满分12分）
设数列{a n }满足a 1+3a 2+3a 3+…+32n -1a n =n *，a ∈N ． 3（Ⅰ）求数列{a n }的通项； （Ⅱ）设b n =
n ，求数列{b n }的前n 项和S n ． a n
已知a 1=2，点(a n ,a n+1) 在函数f (x )=x 2+2x 的图象上，其中=1，2，3，…
（1） 证明数列｛lg(1+a n ) ｝是等比数列；
（2） 设T n =(1+a 1) (1+a 2) …(1+a n ) ，求T n 及数列｛a n ｝的通项；
（3） 记b n =
112，求｛b n ｝数列的前项和S n ，并证明S n +=1. +3T n -1a n a n +2
范文三：高三理科数学数列大题归纳及试题
1((2013深圳二模)已知数列满足:,且对任意和ab,ab,,0,2013naab,,,,,,,nn11nnn，1
均为等差数列. abb,,nnn，，11
求的值; (2)证明:和均成等比数列; (1)ab,ab，2ab,,,,,nnnn22
2((四校2013期末联考)已知数列{}中,,(c是常数,n=1,2,3,),且aaacn,,，2,an11nn，
1成公比不为的等比数列. aaa,,123
(?)求c的值; (?)求{}的通项公式. an
39,3(,增城2013高三调研测试,在等比数列{}a中,已知. a,S,33n22
(1)求{}a的通项公式; (2)求和. Saana,，，，2nnn12
4(,2013高三上学期综合测试,已知等差数列满足又数,,a,5,a,2a,3,an352
,30bbnN,,,列中,且. ,,bb,3，，nn1，n1
(1)求数列,,,的通项公式; ,,bann
ST23，，，nnc,.c(2)若数列,,,的前项和分别是,且求数列的前,,bS,Tan,,nnnnnnn
项和; Mnn
3(3)若M对一切正整数恒成立,求实数的取值范围. ,,,mm且9log0,1nm，，nm4
5(,2013届广东省高考压轴卷,设数列的前项和为,且满足,,anSnn
. n,1,2,3S=2,S=3S+2，，1n+1n
anb,{}(I)求证:数列为等比数列; (?)设,求证:. S+1b，b，...，b,1nn12n2Sn
n，16(,2013佛山质量检测,数列的前项和为,数列b是首项为,公差aS,,22an,,,,nn1n
dd(0),为的等差数列,且成等比数列. bbb,,1311
bn(1)求数列a与b的通项公式; (2)设c,,求数列c的前项和. Tn,,,,,,nnnnnan
7(,惠州市2013一调,等差数列中,,前项和为,等比数列各项均为正{}aa,1S{}bnn1nn
数,,且,. b,2sb，,7sb,,212243
(1)求与; abnn
8 (,茂名2013模拟,在等比数列{}中,已知=1,=2,则等于 ( ) aaa，aa，aa，n234589
A(2 B(4 C(8 D(16 2
a9 (,汕头2013联考,设等差数列d的公差?0,.若是与的等比中项,aad,4aa,,n1k12k
则k, ( )
A(3或 -1 B(3或1 C(3 D(1 10 (,汕头2013二模,等比数列中,已知,则 ( ) aa,,2,8{a}a,n264
,4,4A( B(16 C( D(4
范文四：[小学]山东高考数学理科数列大题
(19)(本小题满分12分)
已知等差数列的公差为2，前项和为，且成等比数列. {}aSSSS,,nnn124(?)求数列的通项公式; {}an
4nn,1(?)令，求数列的前项和. {}bT,,nb(1)nnnaann，1
aSSS,4aa,，2120((本小题满分12分)设等差数列的前n项和为，且，.,,nn422nn
a(?)求数列的通项公式; ,,n
a，1n*,bT，,Tcb,,(?)设数列前n项和为，且 (为常数).令.,,()nN,nnnnn2n2
cR求数列的前n项和。 ,,nn
(20)(本小题满分12分)
在等差数列{a}中，a+a+a=84，a=73. n3459
(?)求数列{a}的通项公式; nm2m(?)对任意m?N,，将数列{a}中落入区间(9，9)内的项的个数记为bm，求数列{b}nm的前m项和S。 m
20. (本小题满分12分)等比数列中，分别是下表第一、二、三行中的某一aaaa,,,,n123
个数，且中的任何两个数不在下表的同一列( aaa,,123
第一列 第二列 第三列
310第一行 2
6第二行 414
9818第三行 (?)求数列的通项公式; a,,n
nbaa,，,1ln(?)若数列b满足:，求数列b的前项和(Sn，，,,,,nnnnnn
(18)(本小题满分12分)
已知等差数列满足:的前项和为{a}a,7,a，a,26.{a}S.nnn357n
(?)求及; San4
1* (?)令，求数列的前项和 b,{b}T.n(n,N)nnn2a,1n
20. (2009山东理20)等比数列{}的前项和为，已知对任意的，点，均在函数的图像上.
的值; (?)求
(?)当时，记
(19)(本小题满分12分)
将数列,a,中的所有项按每一行比上一行多一项的规则排成如下数表:n
a1
aa2 3
aa a4 56
a a aa789 10
……
记表中的第一列数aaaa构成的数列为,b,,b=a=1. S为数列,b,的前n项，，，，…1247n11nn
2bn和，且满足,1=(n?2). 2bSS,nnN
1(?)证明数列,,成等差数列，并求数列,b,的通项公式; nSn
(?)上表中，若从第三行起，每一行中的数按从左到右的顺序均构成等比数列，且公
4a,,比为同一个正数.当时，求上表中第k(k?3)行所有项和的和. 8191
(17)(本小题满分12分)
n21n,*设数列满足，( ，，，，,333…aa,Naaaa,,123nn3(?)求数列的通项; a,,n
n(?)设，求数列的前项和( bSb,n,,nnnan
2已知a=2，点(a,a)在函数f(x)=x+2x的图象上，其中=1，2，3，… 1nn+1
(1) 证明数列,lg(1+a),是等比数列; n
(2) 设T=(1+a) (1+a) …(1+a)，求T及数列,a,的通项; n12nnn
112(3) 记b=，求,b,数列的前项和S，并证明S+=1.，nnnn3T,1aa，2nnn
范文五：高三理科数学数列大题归纳及试题89581418
导数
22(在数列{a}中，a=1，a=a,1(n?1)，则a+a+a+a+a等于( ) n1n+1n12345
A(,1 B(1 C(0 D(2 3({a}是等差数列，且a+a+a=45，a+a+a=39，则a+a+a的值是( ) n147258369
A(24 B(27 C(30 D(33
*4(等差数列{a}中，已知a=,6，a=0，公差d?N，则n(n?3)的最大值为( ) n1n
A(5 B(6 C(7 D(8
25(设a=,n+10n+11，则数列{a}从首项到第几项的和最大( ) nn
A(第10项 B(第11项 C(第10项或11项 D(第12项 6(已知等差数列{a}的公差为正数，且a?a=,12，a+a=,4，则S为( ) n374620
(180 B(,180 C(90 D(,90 A
,(由公差为d的等差数列a、a、a…重新组成的数列a+a， a+a， a+a…是( ) 123142536
A(公差为d的等差数列 B(公差为2d的等差数列
C(公差为3d的等差数列 D(非等差数列
考查等差数列的性质(
,2nN,10(数列的通项公式,若此数列满足(),则的取值范围是 kankn,，{}aaa,nnn，1n
A,k,,2 B,k,,2 C,k,,3 D,k,,3
Sa2nnn11(等差数列,的前项和分别为,,若,则= {}bT{}aS,nnnnnbTn31，nn
221n,21n，21n,A, B, C, D, 334n，31n,31n，
a,b,ca，b，c,m(m,0)12(三个数成等比数列，且，则b的取值范围是 ( )
mmmm (A) (B) (C) (D) [,m,,](0,)[,m,0),(0,][0,]3333
2a2*n13(在数列{a}中，a=1，a=(n?N)，则是这个数列的第________项( n1n+1a，27n
14(在等差数列{a}中，已知S=10，S=100，则S=_________( n10010110
=_______( 15(在,9和3之间插入n个数，使这n+2个数组成和为,21的等差数列，则n
219(已知数列{a}的前n项和为S，且 a,S,S(n,2,S,0),a,.nnnnn,1n19
1 (?)求证:数列{}为等差数列; Sn
(?)求满足的自然数n的集合. a,0n
导数
一、错位相减法求和
n123例1:求和:S,，，，？，n23naaaa
二、裂项相消法求和
,n,N例2:数列满足=8， () ,,a,2，且a,2a，a,0aan4n，2n，1n1
?求数列的通项公式; ,,an
1* ?设，是否存在最大的整数m，使得对bnN,,Sbbb,，，……+()nnn12na,(12)n
m任意的n均有总成立，若存在请求出m，若不存在则说明理由。 S,n32
典例精析
12例一:已知正项数列的前项和为，的等比中项， ,,SaS是与(a，1)nnnnn4
?求证:数列是等差数列; ,,an
an ?若，数列,,的前项和为，求 bTTnb,nnnnn2
,,,T，n, ?在?的条件下，是否存在常数，使得数列为等比数列,若存在，,,an，2,,
,试求出;若不存在，说明理由。
题型一 归纳、猜想法求数列通项
【例1】根据下列数列的前几项，分别写出它们的一个通项公式
?7，77，777，7777，…
?1，3，3，5，5，7，7，9，9…
导数
S(n1,),1题型二 应用求数列通项 a,,nSS(n2),,nn,1,
n例2(已知数列的前项和，有，求其通项公式. ,,SS,3,2annnn
经典例题精析
类型一:迭加法求数列通项公式
1(在数列中，，，求.
例:已知数列，，，求.
类型二:迭乘法求数列通项公式
2(设是首项为1的正项数列，且，求它
的通项公式.
例:在数列中，，，求.
类型三:倒数法求通项公式
3(数列中，,，求.
导数
例:数列中，,，求.
类型四:待定系数法求通项公式
4(已知数列中，，，求.
例:已知数列满足,而且，求这个数列的通项公式.
类型五:和的递推关系的应用
5(已知数列中，是它的前n项和，并且, .
(1)设,求证:数列是等比数列;
(2)设，求证:数列是等差数列;
(3)求数列的通项公式及前n项和.
例:若, ()，求.
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