1/1X3 + 1/3X5 + 1/5X7 + .+ 1/99X101

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/23 17:19:52
1/1X3+1/3X5+1/5X7+.+1/99X1011/1X3+1/3X5+1/5X7+.+1/99X1011/1X3+1/3X5+1/5X7+.+1/99X1011/1X3+1/3X5+1/5X

1/1X3 + 1/3X5 + 1/5X7 + .+ 1/99X101
1/1X3 + 1/3X5 + 1/5X7 + .+ 1/99X101

1/1X3 + 1/3X5 + 1/5X7 + .+ 1/99X101
1/1X3 + 1/3X5 + 1/5X7 + .+ 1/99X101
=(1/2)[(1-1/3)+(1/3-1/5)+(1/5-1/7)+...+(1/99-1/101)]
=(1/2)(1-1/101)
=(1/2)(100/101)
=50/101