2/2*4+2/4*6+2/6*8+2/8*10+2/10*12的计算

问题描述:

2/2*4+2/4*6+2/6*8+2/8*10+2/10*12的计算

2/(n*(n+2))=1/n-1/(n+2)
2/2*4+2/4*6+2/6*8+2/8*10+2/10*12
=1/2-1/4+1/4-1/6+...+1/10-1/12
=1/2-1/12
=5/12