已知数列{an}满足A1=2,An+1=An - 1/n(n+1) (1)求数列an的通项公式 (2)设{Bn}=nAn2^n,求数列Bn前n项和SnRT已知数列{an}满足A1=2,An+1=An - 1/n(n+1) (1)求数列an的通项公式(2)设{Bn}=nAn2^n,求数列Bn前n项和Sn是A（n+1）

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$已知数列{an}满足A1=2,An+1=An - 1/n(n+1) (1)求数列an的通项公式 (2)设{Bn}=nAn*2^n,求数列Bn前n项和SnRT已知数列{an}满足A1=2,An+1=An - 1/n(n+1) (1)求数列an的通项公式(2)设{Bn}=nAn*2^n,求数列Bn前n项和Sn是A（n+1）$

已知数列{an}满足A1=2,An+1=An - 1/n(n+1) (1)求数列an的通项公式 (2)设{Bn}=nAn*2^n,求数列Bn前n项和SnRT已知数列{an}满足A1=2,An+1=An - 1/n(n+1) (1)求数列an的通项公式(2)设{Bn}=nAn*2^n,求数列Bn前n项和Sn是A（n+1）
已知数列{an}满足A1=2,An+1=An - 1/n(n+1) (1)求数列an的通项公式 (2)设{Bn}=nAn*2^n,求数列Bn前n项和Sn
RT
已知数列{an}满足A1=2,An+1=An - 1/n(n+1)
(1)求数列an的通项公式
(2)设{Bn}=nAn*2^n,求数列Bn前n项和Sn
是A（n+1）=An - [1/n(n+1)]

已知数列{an}满足A1=2,An+1=An - 1/n(n+1) (1)求数列an的通项公式 (2)设{Bn}=nAn*2^n,求数列Bn前n项和SnRT已知数列{an}满足A1=2,An+1=An - 1/n(n+1) (1)求数列an的通项公式(2)设{Bn}=nAn*2^n,求数列Bn前n项和Sn是A（n+1）
1.An+1=An - 1/n(n+1)
a(n)-a(n+1)=1/n-1/(n+1)
(a(n+1)-1/(n+1))/(a(n)-1/n)=1
数列{a(n)-1/n}是等比数列
当n=1时,a(1)-1/n=2-1=1
所以数列{a(n)-1/n}是常熟列1.
a(n)-1/n=1
a(n)=1+1/n
2.b(n)=n*(1+1/n)*2^n=(n+1)*2^n
b(n-1)=n*2^(n-1)
...
b(1)=2*2^1
s(n)=2*2^1+...+n*2^(n-1)+(n+1)*2^n
2s(n)=2*2^2+...+n*2^n+(n+1)*2^(n+1)
-s(n)=2*2^1+2^2+2^3+...+2^n-(n+1)*2^(n+1)
s(n)=(n+1)*2^(n+1)-2^(n+1)=n*2^(n+1)

An=1+1/n 剩下的就好算了，自己做吧

1、An=n+2/n+1
2、没思路

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