问题标题:
1-1/(2*3)+1/(3*4)-1/(4*5)+……+1/(19*20)=?
问题描述:
1-1/(2*3)+1/(3*4)-1/(4*5)+……+1/(19*20)=?
费学成回答:
1-1/(2*3)-1/(3*4)-1/(4*5)+……+1/(19*20)=?
=1-(1/2-1/3+1/3-……+1/19-1/20)
=1-9/10
=1/10
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