设an是首项为1的正项等比数列,且（n+1)an+1^2-nan^2+an+1an=0,求其通项公式

∵(n+1)a[n+1]^2-na[n]^2+a[n+1]a[n]=0∴{(n+1)a[n+1]-na[n]}{a[n+1]+a[n]}=0∴(n+1)a[n+1]-na[n]=0 或者 a[n+1]+a[n]=0∵{a[n]}是首项为1的正项数列∴a[n+1]+a[n]=0,即公比是-1,舍去∴a[n+1]/a[n]=n/(n+1) a[n]/a[n...