1+1/2+1/4+1/8+.1/1024

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1+1/2+1/4+1/8+.1/1024

1+1/2+1/4+1/8+.1/1024
1+1/2+1/4+1/8+.1/1024

1+1/2+1/4+1/8+.1/1024
1+1/2+1/4+1/8+...+1/1024
=1+1/2*(1-1/2^10)/(1-1/2)
=1+1023/1024
=2047/1024