1/2*6+1/3*8+1/4*10+1/5*12+...+1/60*122+1/61*124
问题描述:
1/2*6+1/3*8+1/4*10+1/5*12+...+1/60*122+1/61*124
答
1/2*6+1/3*8+1/4*10+1/5*12+...+1/60*122+1/61*124
=1/2 (1/2-1/3)+1/2 (1/3-1/4)+1/2(1/4-1/5)+.+1/2(1/61-1/62)
=1/2(1/2-1/62)
=15/62