等差数列求和公式为:s=(a1+an)*n/2
1+3+5+……+199
------------------- =
2+4+6+……+200
1+3+5+……+199
------------------------ =
(1+3+5+……+199)+100
1
----------------
1+100/(1+3+5+……+199)
1+3+5+……+199=(1+199)*100/2=10000
可得:
1
---------------------- -- =
1+100/(1+3+5+……+199)
1
----------------------
1+100/(1+3+5+……+199)
=1/(1+100/10000)=100/101