1/2+1/4+1/8+1/16+1/32+1/64= 1+1/2+1/4+1/8+1/16+...+1/512=

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1/2+1/4+1/8+1/16+1/32+1/64= 1+1/2+1/4+1/8+1/16+...+1/512=
1/2+1/4+1/8+1/16+1/32+1/64= 1+1/2+1/4+1/8+1/16+...+1/512=

1/2+1/4+1/8+1/16+1/32+1/64= 1+1/2+1/4+1/8+1/16+...+1/512=
1/2+1/4+1/8+1/16+1/32+1/64=1-1/64=63/64
1+1/2+1/4+1/8+1/16+...+1/512=2-1/512=1023/512