1+1/(1+2)+1/(1+2+3)+…+1/(1+2+3+4+…+100)=小学解法
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1+1/(1+2)+1/(1+2+3)+…+1/(1+2+3+4+…+100)=小学解法
1+1/(1+2)+1/(1+2+3)+…+1/(1+2+3+4+…+100)=小学解法
1+1/(1+2)+1/(1+2+3)+…+1/(1+2+3+4+…+100)=小学解法
1+1/(1+2)+1/(1+2+3)+…+1/(1+2+3+4+…+100)
=2/(1×2)+2/(2×3)+2/(3×4)+.+2/(100×101)
=2[1/(1×2)+1/(2×3)+1/(3×4)+.+1/(100×101)]
=2(1-1/2+1/2-1/3+1/3-1/4+.+1/100-1/101)
=2(1-1/101)
=200/101