解
原式
=(1-1/2)+(1/2-1/3)+……+(1/7-1/8)
=1+(1/2-1/2)+(1/3-1/3)+……+(1/7-1/7)-1/8
=1-1/8
=7/8
(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)
=1-1/2+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
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