1/2+1/4+1/8+1/16+1/32=

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1/2+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=1/2+1/4+1/8+1/16+1/32=1-1/2+1/2-1/

1/2+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=
1/2+1/4+1/8+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

1/2+1/4+1/8+1/16+1/32=31/32

1/2+1/4+1/8+1/16+1/32
=1/2+1/4+1/8+1/16+1/32+1/32)-1/32
=(1/2+1/4+1/8+1/16+1/16)-1/32
=(1/2+1/4+1/8+1/8)-1/32
=(1)-1/32
=31/ 32