1∕2+1∕6+1∕12+1∕20+1∕30+1∕42+1∕56快!

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1∕2+1∕6+1∕12+1∕20+1∕30+1∕42+1∕56快!
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1∕2+1∕6+1∕12+1∕20+1∕30+1∕42+1∕56快!
1∕2+1∕6+1∕12+1∕20+1∕30+1∕42+1∕56
快!

1∕2+1∕6+1∕12+1∕20+1∕30+1∕42+1∕56快!
原式=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8=1-1/8=7/8