1/2+1/4+1/8+1/16+1/2的n次方
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![1/2+1/4+1/8+1/16+1/2的n次方](/uploads/image/z/2580934-22-4.jpg?t=1%2F2%2B1%2F4%2B1%2F8%2B1%2F16%2B1%2F2%E7%9A%84n%E6%AC%A1%E6%96%B9)
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1/2+1/4+1/8+1/16+1/2的n次方
1/2+1/4+1/8+1/16+1/2的n次方
1/2+1/4+1/8+1/16+1/2的n次方
1/2+1/4=1-1/4=3/4
1/2+1/4+1/8=1-1/8=7/8
……
1/2+1/4+1/8+1/16+……+1/2的n次方=1-1/2的n次方=(2的n次方-1)/2的n次方