已知数列{An}满足A1=1,An+1=2An+2^n.求证数列An/2是等差数列

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已知数列{An}满足A1=1,An+1=2An+2^n.求证数列An/2是等差数列已知数列{An}满足A1=1,An+1=2An+2^n.求证数列An/2是等差数列已知数列{An}满足A1=1,An+

已知数列{An}满足A1=1,An+1=2An+2^n.求证数列An/2是等差数列
已知数列{An}满足A1=1,An+1=2An+2^n.求证数列An/2是等差数列

已知数列{An}满足A1=1,An+1=2An+2^n.求证数列An/2是等差数列
你应该是抄错题了吧- -
A(n+1)=2An+2^n等式两边同时除以2^(n+1)
有A(n+1)/2^n+1=An/2^n+1/2
设Bn=An/2^n
则B(n+1)=Bn+0.5
Bn是等差数列
即An/2^n是等差数列