设数列an前n项和为Sn,且(3-m)Sn+2man=m+3,其中m为常数,且m不等于—3,求证an是等比数列

问题描述:

设数列an前n项和为Sn,且(3-m)Sn+2man=m+3,其中m为常数,且m不等于—3,求证an是等比数列

(3-m)Sn+2m*an=m+3
(3-m)S(n-1)+2m*a(n-1)=m+3
联立方程.
解得:an/a(n-1)=2m/(3+m)