两边平方得Sn^2=1/4*(an^2+1/an^2)+1/21/4*(an^2+1/an^2)=Sn^2-1/2Sn-1=Sn-an=1/2*(an+1/an)-an=1/2*(1/an-an)两边平方得Sn-1^2=1/4*(an^2+1/an^2)-1/2=Sn^2-1/2-1/2=Sn^2-1n=1时 得s1=a1=1所以{Sn^2}是首项为1,公差为1的等差数列。Sn^2=nSn=√nan=√n-√(n-1)
1/2是整个括号前面的系数吗?