1+3/2+5/4+7/8+9/16+11/32+13/64
7个回答

设A=1+3/2+5/4+7/8+9/16+11/32+13/64

2A=2+3+5/2+7/4+9/8+11/16+13/32

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

A=4+1+1/2+1/4+1/8+1/16=5+1/2+1/4+1/8+1/16+1/16-1/16

=5+1/2+1/4+1/8+1/8-1/16

=5+1/2+1/4+1/4-1/16

=5+1/2+1/2-1/16

=6-1/16

=95/16