2\1+4\1+8\1+16\1+32\1?
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![2\1+4\1+8\1+16\1+32\1?](/uploads/image/z/216694-46-4.jpg?t=2%5C1%2B4%5C1%2B8%5C1%2B16%5C1%2B32%5C1%3F)
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2\1+4\1+8\1+16\1+32\1?
2\1+4\1+8\1+16\1+32\1?
2\1+4\1+8\1+16\1+32\1?
(1-1/2)+(1/2-1/4)+(1/4-1/8)+(1/8-1/16)+(1/16-1/32)=1-1/2+1/2-1/4+1/4-1/8+1/8-1/16+1/16-1/32=1-1/32=31/32
31/32