已知数列an满足a平方n＋1＝an＊an＋2,an＞0,且a2a4＋2a3a5＋a4a6＝64,a3＋a5＝?要过程

已知数列an满足a平方n＋1＝an＊an＋2,an＞0,且a2a4＋2a3a5＋a4a6＝64,a3＋a5＝?要过程
已知数列an满足a平方n＋1＝an＊an＋2,an＞0,且a2a4＋2a3a5＋a4a6＝64,a3＋a5＝?
要过程

已知数列an满足a平方n＋1＝an＊an＋2,an＞0,且a2a4＋2a3a5＋a4a6＝64,a3＋a5＝?要过程
a^2 (n+1)=an*a(n+2)
a2a4＋2a3a5＋a4a6＝64
a3^2+2a3a5+a5^2=64
(a3+a5)^2=64=8^2
a3+a5=8 或 a3+a5=-8(舍去,因为an>0)