1/18+1/54+1/108+……+1/810+1/990等于多少?
问题描述:
1/18+1/54+1/108+……+1/810+1/990等于多少?
答
1/18+1/54+1/108+……+1/810+1/990
=(1/3-1/6+1/6-1/9+1/9-1/12+……+1/27-1/30+1/30-1/33)÷3
=(1/3-1/33)÷3
=10/33÷3
=10/99