1/2+1/6+1/12+...+1/156等于多少
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1/2+1/6+1/12+...+1/156等于多少
1/2+1/6+1/12+...+1/156
=1/(1*2)+1/(2*3)+1/(3*4)+……+1/(12*13)
=(1-1/2+1/2-1/3+1/3-1/4+……+1/12-1/13)
=1-1/13
=12/13
=1/(1*2)+1/(2*3)+1/(3*4)+……+1/(12*13)
=(1-1/2+1/2-1/3+1/3-1/4+……+1/12-1/13)
=1-1/13
=12/13