若{an}是个等差数列,前n项和为sn,已知S4=6 S8=20 求S12
来源:学生作业帮助网 编辑:作业帮 时间:2024/11/25 18:38:24
xN1_eeŖ5}5\i 1$4>42e=
nBG.gOШ&VK4yZr&QbeRef#U %PHjxRwKSb.VY"c ([a-&q4iqs>g시aߧl%lӶ n'&_yM4QeSu*8`R r(_!Kff{Vc)
8[gl.
若{an}是个等差数列,前n项和为sn,已知S4=6 S8=20 求S12
若{an}是个等差数列,前n项和为sn,已知S4=6 S8=20 求S12
若{an}是个等差数列,前n项和为sn,已知S4=6 S8=20 求S12
因为Sn=na1+(n-1)d
S4=4a1+3d
S8=8a1+7d
解得a1= - 4.5,d=8
S12= - 4.5*12+11*8
=34
S8 - S4 - S4 = 4*4*d = 14
S12 - S8 - S4 = 8*4*d = 28
S12 = 28 + 20 + 6 = 54
设{am}=原数列前4项的和 ,5-8项的和, 9-12项的和 是一个数列 因为原数列是等差数列 所以这个数列也是等差数列
am1=S4=6
am2=S8-S4=14
am3=14-6+14=22
所以S12=am1+am2+am3=42
设Sn为等差数列{An}的前n项和,求证:{Sn/n}是等差数列
若{an}是个等差数列,前n项和为sn,已知S4=6 S8=20 求S12
记数列{an}的前n项和为Sn,若{Sn/an}是公差为d的等差数列,则{an}为等差数列的充要条件是d=?
{an}是等差数列,前n项和为Sn,若a3=18-a4,求S7
设{an}是等差数列前n项和为Sn,若S4>=10,S5
已知公差不为0的等差数列{An}的首项A1=1,前n项和为Sn,若数列{Sn/An}是等差数列,求An?
已知an是等差数列,前n项和为Sn,求证:S3n=3(S2n-Sn)
设Sn为等差数列an的前n项和.求证Sn/n为等差数列
(1)已知数列an的前n项和为sn满足sn=an²+bn,求证an是等差数列(2)已知等差数列an的前n项和为sn,求证数列sn/n也成等差数列
等差数列{an}的前n项和为sn,a10
设等差数列{an}的前n项和为Sn 若a1=Sn>
设等差数列{an}公差d是2,前n项和为Sn,则lim(an^2-n^2)/Sn
设等差数列{an}公差d是2,前n项和为Sn,则lim(an^2-n^2)/Sn
设数列{an}的前n项和为Sn,若对任意正整数,都有Sn=n(a1+an)/2,证明{an}是等差数列.
an是等差数列,sn为前N项和,Sm/Sn=m2/n2 则am/an=
设数列{an}的前n项和为sn,若对于所有的正整数n,都有sn=n(a1+an)/2,证明{an}是等差数列设数列{an}的前n项和为sn,若对于所有的正整数n,都有sn=n(a1+an)/2,证明{an}是等差数列
an为等差数列,Sn是前n项和,若Sm=n,Sn=m,求证Sm+n=-(m+n)
已知数列{an}的前n项和为Sn=n^2-3n,求证:数列{an}是等差数列