已知数{An}满足A1=1 An=2An-1+2的n次方(n为大于2的整数)则数列{An/2的n次方}是
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已知数{An}满足A1=1An=2An-1+2的n次方(n为大于2的整数)则数列{An/2的n次方}是已知数{An}满足A1=1An=2An-1+2的n次方(n为大于2的整数)则数列{An/2的n次方
已知数{An}满足A1=1 An=2An-1+2的n次方(n为大于2的整数)则数列{An/2的n次方}是
已知数{An}满足A1=1 An=2An-1+2的n次方(n为大于2的整数)则数列{An/2的n次方}是
已知数{An}满足A1=1 An=2An-1+2的n次方(n为大于2的整数)则数列{An/2的n次方}是
A1=1 An=2An-1+2的n次方
所以,A2=2*1+2^2=2+2^2
A3=2*(2+2^2)+2^3=2^2+2*2^3
A4=2*(2^2+2*2^3)+2^4=2^3+2*2*2^3+2^4=2^3+3*2^4
A5=2*(2^3+3*2^4)+2^5=2^4+4*2^5
所以,An=2^(n-1)+(n-1)*2^n
所以,数列{An/2的n次方}是:
(2^(n-1)+(n-1)*2^n)/2^n=(1+n-1)/2=n/2
2^n表示2的n次方
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