作业帮1/4+1/28+1/70+.+1/9700=?
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/13 18:12:42
1/4+1/28+1/70+.+1/9700=?
1/4+1/28+1/70+.+1/9700=?
1/4+1/28+1/70+.+1/9700=?
1/4+1/28+1/70+.+1/9700
=1/3×(1-1/4+1/4-1/7+1/7-1/10+...+1/97-1/100)
=1/3×(1-1/100)
=1/3×99/100
=33/100
=1/1×4+1/4×7+……+1/97×100
=1-1/4+1/4-1/7+……+1/97-1/100
=1-1/100
=99/100