若数列{an}满足a1=1,a(n+1)=an+2n,且n属于正整数,则a100=

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/27 16:12:10
若数列{an}满足a1=1,a(n+1)=an+2n,且n属于正整数,则a100=若数列{an}满足a1=1,a(n+1)=an+2n,且n属于正整数,则a100=若数列{an}满足a1=1,a(n+

若数列{an}满足a1=1,a(n+1)=an+2n,且n属于正整数,则a100=
若数列{an}满足a1=1,a(n+1)=an+2n,且n属于正整数,则a100=

若数列{an}满足a1=1,a(n+1)=an+2n,且n属于正整数,则a100=
a100=9901
a(n+1)-an=2n
a(n)-a(n-1)=2(n-1)
a(n-1)-a(n-2)=2(n-2)
………………
a2-a3=4
a2-a1=2
累加,得:a(n)-a1=2n*½(n-1)=n²-n
∴an=n²-n+1
∴a100=9901
参考一下

a2=a1+2*1
a3=a2+2*2=a1+2*1+2*2
a4=a3+2*4=a1+2*1+2*2+2*3
a100=1+2*1+2*2+2*3+.....+2*99=1+2*(1+99)*99/2=9901

9901

数列[An]满足a1=2,a(n+1)=3an-2 求an 若数列an满足a1=1,an+1=2^nan...若数列an满足a1=1,a(n+1)=2^n·an,则数列an的通项公式? 已知数列{an}满足a1=33,a(n+1)-an=2n,求an/n的最小值 已知数列an满足a1=2,an=a(n-1)+2n,(n≥2),求an 已知数列{an}满足a(n+1)=an+n,a1=1,则an= 数列{an}满足a1=2,a(n+1)=2an+n+2,求an 已知数列{an}满足a1=1,a(n+1)=nan n+1是角标 已知数列{an}满足a1=2,a(n+1)-an=a(n+1)*an,则a31=? 已知数列{a}满足a1=1/2,a(n+1)=an+1/(n^2+n),求an已知数列{a}满足a1=1/2,a(n+1)=an+1/(n^2+n),求an 若数列an满足a1=3,a(n+1)=-1/an+1,则a2012= 若数列{an}满足:a(n+1)=1—1/an且a1=2,则a2011等于 在数列an中,a1=1,且满足a(n+1)=3an +2n,求an 已知数列an满足条件a1=-2 a(n+1)=2an/(1-an) 则an= 数列an满足a1=1,a(n+1)=an/[(2an)+1],求a2010 已知数列{an}满足a(n+1)=an+lg2,a1=1,求an 已知数列{An}满足a1=1,a(n+1)=2an+1 求证数列{an+1}是等比数列 求数列{an}通式 (高二数学)已知数列{an}是首项a1=a,公差为2的等差数列;数列{bn}满足2bn=(n+1)an已知数列{an}是首项a1=a,公差为2的等差数列;数列{bn}满足2bn=(n+1)an(1)若a1,a3,a4成等比数列,求数列{an}的通项公式(2 【紧急--高一数学】已知数列{an}是首项a1=a,公差为2的等差数列;数列{bn}满足2bn=(n+1)an已知数列{an}是首项a1=a,公差为2的等差数列;数列{bn}满足2bn=(n+1)an(1)若a1,a3,a4成等比数列,求数列{an}的通项