2005/1×3+2005/3×5+2005/5×7+.+2005/99×101

2005/(1×3)+2005/(3×5)+2005/(5×7)+……+2005/(99×101)=2005×[1/(1×3)+1/(3×5)+1/(5×7)+……+1/(99×101)]=2005×(1/2)×(1-1/3+1/3-1/5+1/5-1/7+……+1/99-1/101)=2005×(1/2)×(1-1/101)=2005×(1/2)×(100/101)=2005×(50/101)=100250/101很高兴为您解答,【学习宝典】团队为您答题。请点击下面的【选为满意回答】按钮,