在数列{An}中,A1=1,An*An+1=4^n,求前n项和Sn

在数列{An}中,A1=1,An*An+1=4^n,求前n项和Sn越详细越好.n为奇数时An=2^n-1n为偶数时An=2^n是怎么得到的... 在数列{An}中,A1=1,An*An+1=4^n,求前n项和Sn
越详细越好.
n为奇数时An=2^n-1
n为偶数时An=2^n
是怎么得到的
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An*An+1=4^n 把此试记为一
An-1*An=4^(n-1) 把此试记为二
一二两式左右两边相除得An+1/An-1=4
易得A1=1,A2=4
n为奇数时An=2^n-1
n为偶数时An=2^n
后面,恩,自己算吧.
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