{an}满足a1=2,an+1=3an+3^(n+1)-2^n(n∈正整数),设bn=(an-2^n)/3^n,证明bn为等差数列,并求an的通项公式
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{an}满足a1=2,an+1=3an+3^(n+1)-2^n(n∈正整数),设bn=(an-2^n)/3^n,证明bn为等差数列,并求an的通项公式{an}满足a1=2,an+1=3an+3^(n+
{an}满足a1=2,an+1=3an+3^(n+1)-2^n(n∈正整数),设bn=(an-2^n)/3^n,证明bn为等差数列,并求an的通项公式
{an}满足a1=2,an+1=3an+3^(n+1)-2^n(n∈正整数),设bn=(an-2^n)/3^n,证明bn为等差数列,并求an的通项公式
{an}满足a1=2,an+1=3an+3^(n+1)-2^n(n∈正整数),设bn=(an-2^n)/3^n,证明bn为等差数列,并求an的通项公式
这道题看起来好熟悉 bn+1-bn=(an+1-2的n+1次方)/3的n+1次方-(an-2的n次方)/3的n次方=(3an+3的n+1次方-2的n次方-2的n+1次方)/3的n+1次方-3(an-2的n次方)/3的n+1次方=1 所以bn为等差数列 所以bn为首项为0 公差为1的等差数列 bn=n-1 所以bn=(a的n次方-2的n次方)/3的n次方=n-1 所以an=(n-1)*3的n次方+2的n次方
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