1/3+1/15+1/35+-----1/399+1/483=
问题描述:
1/3+1/15+1/35+-----1/399+1/483=
答
1/3=1/2-1/6,1/15=1/(3*5)=(1/2)(1/3-1/5)=1/6-1/10,……1/399=1/(19*21)=1/38-1/42,1/483=1/(21*23)=1/42-1/46.1/3+1/15+1/35+-----1/399+1/483=1/2-1/46=22/46=11/23.