1/2+5/6+11/12+19/20+.109/110的值是多少?A 80/11 B 90/11C 100/11D 109/11
问题描述：
1/2+5/6+11/12+19/20+.109/110的值是多少?
A 80/11
B 90/11
C 100/11
D 109/11
答
C1/2+5/6+11/12+19/20+.109/110=1-1/2+1-1/6+1-1/12+1-1/20+.+1-1/110=10-(1/2+1/6+1/12+1/20+.+1/110)=10-(1/1*2+1/2*3+1/3*4+1/4*5+.+1/10*11)=10-(1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+.+1/10-1/11)=10-(1-1/11)=10-10...