An=4/(n+1)(n+3)数列求和
问题描述:
An=4/(n+1)(n+3)数列求和
答
用列项相消,4/(n+1)(n+3)=2(1/n+1-1/n+3),则Sn=2(1/2+1/3-1/n+2-1/n+3)=5/3-4n+10/(n+2)(n+3),
An=4/(n+1)(n+3)数列求和
用列项相消,4/(n+1)(n+3)=2(1/n+1-1/n+3),则Sn=2(1/2+1/3-1/n+2-1/n+3)=5/3-4n+10/(n+2)(n+3),