1/1*7+1/2*8+1/3*9~1/10*16
问题描述:
1/1*7+1/2*8+1/3*9~1/10*16
答
1/1*7+1/2*8+1/3*9~1/10*16
=1/6(1-1/7)+1/6(1/2-1/8)+1/6(1/3-1/9)+...+1/6(1/10-1/16)
=1/6(1-1/7+1/2-1/8+1/3-1/9+...+1/10-1/16)
=1+1/2+1/3+1/4+1/5+1/6-1/11-1/12-1/13-1/14-1/15-1/16
=