How to iteratively increase the number of power operations

Hello,

I want to write a loop in which I will iteratively increase the number of power operations I do.

For example:

Loop 1: x(1) = 2^(1/2)

Loop 2: x(2) = 2^(1/2)^(1/2)

Loop 3: x(3) = 2^(1/2)^(1/2)^(1/2)

... (and so on)

Is this possible to be done?

Answer 1

[David Hill]

n=10;%how many do you want
x=2.^((.5).^(1:n))