已知数列{an}满足a1=1 ,an+1=3an+2的n+1次幂,求an

来源：学生作业帮助网 编辑：作业帮 时间：2024/11/27 22:11:02
已知数列{an}满足a1=1 ,an+1=3an+2的n+1次幂,求an
x){}KMczub^ _lۜhhkmhk $jYtgγMy6IEk/D &DI ~nDF;[ *nk B1ScY`:^mkٻS#P] ׁDkX|mS +zl˅;ؕhVehku PP1Z@;uMDЅ~qAb(

已知数列{an}满足a1=1 ,an+1=3an+2的n+1次幂,求an
已知数列{an}满足a1=1 ,an+1=3an+2的n+1次幂,求an

已知数列{an}满足a1=1 ,an+1=3an+2的n+1次幂,求an
a(n+1)=3an+2^(n+1)
设a(n+1)+k*2^(n+1)=3[a(n)+k*2^n]
则 a(n+1)=3an+3k*2^n-2k*2^n=3an+k*2^n
所以 k=2
即 a(n+1)+2*2^(n+1)=3[a(n)+2*2^n]
所以 {an+2*2^n}是等比数列
首项为a1+2*2^1=5,公比为3
所以 an+2*2^n=5*3^(n-1)
an=5*3^(n-1)-2^(n+1)

已知数列{an}满足a1=1 an+1=an/(3an+1) 则球an 已知数列{an}满足an+1=an+n,a1等于1,则an=? 已知数列{an}满足an+1=2an+3.5^n,a1=6.求an 已知数列{an}中满足(An+1-An)(An+1+An)=16,且a1=1,an 已知数列an满足an=1+2+...+n,且1/a1+1/a2+...+1/an 已知数列{an}满足a(n+1)=an+n,a1=1,则an= 已知数列满足a1=1 ,an+1+2an=2 求an 已知数列{an}满足a1=1,an+1·an=2^n 则s2012 已知数列{an}满足An+1=2^nAn,且A1=1,则通项an 已知数列an满足条件a1=-2 an+1=2an+1则a5 已知数列{an}满足a(n+1)=an+lg2,a1=1,求an 已知数列｛an｝满足an=an+1 -lg2,且a1=1,则通项公式为? 已知数列{an},满足a1=1/2,Sn=n²×an,求an 已知数列{an}满足a1=1/2,sn=n^2an,求通项an 已知数列{an}满足3an+1+an=4,a1=9,求通项公式. 已知数列an满足a1=1/2 sn=n平方×an 求an 已知数列An满足 A1=1/2 Sn=N²An 求An 已知数列an满足an+1=nan,a1=2,求an通项