A sequence z0,z1,z2,... is defined by letting z0=3, and zk=(zk-1)2 for all integers k greater than equal to 1. Show that Ci=32i for i greater than or equal to 0. I wasn't to clear on what it meant by this, so what I have is that I am trying to show that Zk = Ci. Is that correct? From there, I proved the base case to be true. Proving n+1 to be true is where I am having problems. Cn+1=(Cn)2 and Zn+1=32n+1=32n(2) I don't see how I can express Cn+1 to be like Zn+1. I'm not even sure if I am understanding the problem correctly. Am I at least going in the right direction? Any hints?