1/2+1/4+1/8+1/16+1/31+1/62+1/124+1/248+1/496
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![1/2+1/4+1/8+1/16+1/31+1/62+1/124+1/248+1/496](/uploads/image/z/339865-25-5.jpg?t=1%2F2%2B1%2F4%2B1%2F8%2B1%2F16%2B1%2F31%2B1%2F62%2B1%2F124%2B1%2F248%2B1%2F496)
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1/2+1/4+1/8+1/16+1/31+1/62+1/124+1/248+1/496
1/2+1/4+1/8+1/16+1/31+1/62+1/124+1/248+1/496
1/2+1/4+1/8+1/16+1/31+1/62+1/124+1/248+1/496
1/2+1/4+1/8+1/16+1/31+1/62+1/124+1/248+1/496
=(1/2+1/4+1/8+1/16+1/16+1/31+1/62+1/124+1/248+1/496+1/496)-1/496-1/16
=(1/2+1/4+1/8+1/8+1/31+1/62+1/124+1/248+1/248)-1/496-1/16
=(1/2+1/4+1/4+1/31+1/62+1/124+1/124)-1/496-1/16
=(1/2+1/2+1/31+1/62+1/62)-1/496-1/16
=(1+1/31+1/31)-1/496-1/16
=1+2/31-1/496-1/16
=1+(32-1-31)/496
=1