-4/9,10/9,4/3,7/9,1/9 A.7/3 B 10/9 C -5/18 D -2-4/9,10/9,4/3,7/9,1/9 A.7/3 B 10/9 C -5/18 D -2
问题描述:
-4/9,10/9,4/3,7/9,1/9 A.7/3 B 10/9 C -5/18 D -2
-4/9,10/9,4/3,7/9,1/9
A.7/3 B 10/9 C -5/18 D -2
答
因为对于正整数n,1/[n*(n+1)*(n+2)]=[1/(2n)]-[1/(n+1)]+{1/[2*(n+2)]}原式=(1/4)-(1/3)+(1/8)+(1/6)-(1/4)+(1/10)+(1/8)-(1/5)+(1/12)+(1/10)-(1/6)+(1/14)+(1/12)-(1/7)+(1/16)+(1/14)-(1/8)+(1/18)+(1/16)-(1/9)...