数列an满足a1=0,An+1=an+2n求a2009
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数列an满足a1=0,An+1=an+2n求a2009数列an满足a1=0,An+1=an+2n求a2009数列an满足a1=0,An+1=an+2n求a2009A(n+1)=An+2nA(n+1)-
数列an满足a1=0,An+1=an+2n求a2009
数列an满足a1=0,An+1=an+2n求a2009
数列an满足a1=0,An+1=an+2n求a2009
A(n+1)=An+2n
A(n+1)-An=2n
An-A(n-1)=2(n-1)
.
A2-A1=2*1
各式相加
An-A1=2*(1+2+...+n-1)=2*(1+n-1)*(n-1)/2=n(n-1)
An=n(n-1)+0=n(n-1)
A2009=2009*2008=4034072
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