1/(1×3)+1/(3×5)+1/(5×7)…+1/(99×101)=（）简便计算_其他解答

1/(1×3)+1/(3×5)+1/(5×7)…+1/(99×101)=（）简便计算

人气：227 ℃　时间：2019-10-04 11:19:07

解答

1/(1×3)+1/(3×5)+1/(5×7)…+1/(99×101)
=1/2(1-1/3+1/3-1/5+1/5-1/7+…+1/99-1/101)
=1/2(1-1/101)
=50/101