问题标题：
【数学题1/2+1/4+1/8+1/16+1/32+1+641/2+1/4+1/8+1/16+1/32+1+64`高手`帮帮忙```还有1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)】
问题描述：
数学题1/2+1/4+1/8+1/16+1/32+1+64
1/2+1/4+1/8+1/16+1/32+1+64`高手`帮帮忙```
还有1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)
林百松回答：
1/2+1/4+1/8+1/16+1/32+1/64=(32+16+8+4+2+1)/64=63/64;1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)=(1/1)-(1/2)+(1/2)-(1/3)+(1/3)-(1/4)+...+(1/6)-(1/7)=1-(1/7)=6/7.
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