已知数列 an 满足a1=1,an+1=2an+n+1,若数列{an+pn+q}是等比数列,则pq的值

来源：学生作业帮助网编辑：六六作业网时间：2024/11/24 15:05:15

已知数列an满足a1=1,an+1=2an+n+1,若数列{an+pn+q}是等比数列,则pq的值已知数列an满足a1=1,an+1=2an+n+1,若数列{an+pn+q}是等比数列,则pq的值已知

已知数列 an 满足a1=1,an+1=2an+n+1,若数列{an+pn+q}是等比数列,则pq的值
已知数列 an 满足a1=1,an+1=2an+n+1,若数列{an+pn+q}是等比数列,则pq的值

已知数列 an 满足a1=1,an+1=2an+n+1,若数列{an+pn+q}是等比数列,则pq的值
设[an+1+p(n+1)+q]/ [an+pn+q]=m
得an+1+p（n+1）+q=man+mpn+mq．
又an+1=2an+n+1,
则2an+n+1+pn+p+q=man+mpn+mq,
即（2-m）an+（p+1-mp）n+p+1+q-mq=0．
由已知可得an＞0,
所以
2-m=0
p+1-mp=0
p+1+q-mq=0
.解得
m=2
p=1
q=2
.

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a(n+1)=an+n,a1=1,则an= 已知数列an满足an=1+2+...+n,且1/a1+1/a2+...+1/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