谁能够告诉我1/2+1/6+1/12+1/20+1/30+……+1/9900=?
问题描述:
谁能够告诉我1/2+1/6+1/12+1/20+1/30+……+1/9900=?
答
1/2+1/6+1/12+1/20+1/30+……+1/9900
=1-1/2+1/2-1/3+……+1/99-1/100
=1-1/100
=99/100
答
=1-1/2+1/2-1/3+……+1/99-1/00
=1-1/100
=99/100