Consider the sequence \(3,18,243,...nĂ—3^{2^{n-1}}\)

If this sequence is enclosed in nested square roots upto infinite terms i.e. if

\(\sqrt{3+\sqrt{18+\sqrt{243+...}}}=k\),

* Find the value of \(\left\lceil{k}\right\rceil\)*.

This problem is similar to the below problem.

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