1/6+1/12+1/20+1/30+1/42+1/56+.+1/9900

来源：学生作业帮编辑：灵鹊做题网作业帮分类：数学作业时间：2024/05/06 23:56:21

1/6+1/12+1/20+1/30+1/42+1/56+...+1/9900
=1/(2×3)+1/(3×4)+1/(4×5)+1/(5×6)+1/(6×7)+1/(7×8)+...+1/(99×100)
=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+...+1/99-1/100
=1/2-1/100
=49/100

1/6+1/12+1/20+1/30+1/42+1/56+.+1/9900 1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90+.1/9900 1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+.1/9900=? 1/2+1/6+1/12+1\20+1/30+1/42+.+1/9900=? 2/1+6/1+12/1+20/1+30/1+42/1+.+9900/1 1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72 1.2/1+6/1+12/1+20/1+30/1+42/1 2.6/1+12/1+20/1+30/1.+9900/1 1/2+1/6+1/12+1/20+1/30+1/42+1/56=? 1/2+1/6+1/12+1/20+1/30+1/42+1/56 简算 1/2+1/6+1/12+1/20+1/30+1/42+1/56 2/1+6/1+12/1+20/1+30/1+42/1+56/1= 1/2-1/6-1/12-1/20-1/30-1/42-1/56等于多少