an=2n-12 求an绝对值
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a1=s1=9/2当n≥2时an=sn-s(n-1)=(15-6n)/2a2=3/2当n≥3时,an全为负数故{an绝对值}前30项的和Tn=9/2+3/2+3/2+...+165/2=6+(3/2+
3n-47>0==>n>47/3==>n≥16∴n≤15时,3n-47
(1)Sn=n^2-7n-8(1)S(n-1)=(n-1)^2-7(n-1)-8(2)(1)-(2)an=2n-8(2)2n-8>=0n>=4bn=|an|bn=-an;n=1,2,3,4=an;n=
a(n)=-3n+104>0得n
a1=1an=an-1+3n-2an-1=an-2+3(n-1)-2...a2=a1+3*2-2左右分别相加an=a1+3*(n+n-1+...+2)-2*(n-1)an=1+3*(n+2)*(n-1
Sn=(103n-3n^2)/2S1=a1=50Sn-1=[103(n-1)-3(n-1)^2]/2Sn-Sn-1=an=53-3na1a2……a17都是正数,后面的是负数设Tn=|an|的n项之和n
an=s(n)-s(n-1)=-3n+10,a1=7,a2=4,a3=1,从第四项开始,绝对值an=3n-10,TN=12+(2+3n-10)*(n-3)/2=3n^2/2-17n/2+24
Sn=12-n²an=Sn-S(n-1)=13-2n是递减数列令an6.5,即前6项为正,以后为负!故前n项和如下:(1)n≤6时Sn=12n-n²(2)n≥7时|a1+|a2|+|a
1/an-an=2√n且an>0,(an)^2+2√n(an)-1=0,(an)=[-2√n+√(4n+4)]/2=-√n+√(n+1).而,(an)=[-2√n-√(4n+4)]/2=-√n-√(n
an=Sn-S(n-1)=[3n(41-n)]/2-[3(n-1)(41-n+1)]/2=63-3nan为等差数列.63-3n≥0,n≤21前21项都为正,和为,a1=63-3=60,a21=0,S2
a(n+1)-2an=3.5^n,则a2-2a1=3.5^1a3-2a2=3.5^2.a(n+1)-2an=3.5^n以上式子相加,得a(n+1)-a1-Sn=3.5+3.5^2+...+3.5^n=
待定系数法因为a(n+1)=2an-n^2+3n设a(n+1)+p(n+1)^2+q(n+1)=2(an+pn^2+qn)展开整理得a(n+1)=2an+pn^2+(q-2p)-(p+q)与原式一一对
Sn=10n-n²,a1=S1=9,n≥2时,an=Sn-S(n-1)=11-2n∴an=11-2n(n≥1)该数列前5项为正,从第6起为负.①1≤n≤5时,Bn=Sn=10n-n²
an=10-3n>0,n0,n>4时,an
A(n+1)=An+2(n+1)A(n+1)-An=2(n+1)即An-A(n-1)=2nA(n-1)-A(n-2)=2(n-1).A3-A2=2*3A2-A1=2*2以上各式相加得:An-A1=2*
解∵a(n+1)-an=-2∴{an}是以31为首项,公差为-2的等差数列∴an=a1-2(n-1)=-2n+33(n>=1)a16=1,a17=-1∴当n=17)
16d=a17-a1=48得d=3an=a1+(n-1)d=-60+3(n-1)=3n-63令an
a[n+1]=a[n]/(a[n]+2)是不是这样子?那么两边同时取倒数.1/a[n+1]=[an+2]/an=1+2/an1/a[n+1]+1==2+2/an=2{1/an+1}所以形如1/an+1