The sequence $x_n$ is given by:
$$\begin{aligned} x_1 &= 10 \\ x_{n+1} &= \sqrt{x_n} \text{ for } n \geq 1 \end{aligned}$$
What is the value of $x_{100}$?
[Note that $a^{b^c}$ means $a^{(b^c)}$]
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The sequence $x_n$ is given by:

$$\begin{aligned}
x_1 &= 10 \\
x_{n+1} &= \sqrt{x_n} \text{ for } n \geq 1
\end{aligned}$$

What is the value of $x_{100}$?

[Note that $a^{b^c}$ means $a^{(b^c)}$]