(See Steps) Let s_1=√6, s_2=√6+√6, s_3=√6+√6+√6, and in general define s_n+1=√6+s_n. Prove that (s_n) converges,


Question: Let \(s_{1}=\sqrt{6}, s_{2}=\sqrt{6+\sqrt{6}}, s_{3}=\sqrt{6+\sqrt{6+\sqrt{6}}}\), and in general define

\(s_{n+1}=\sqrt{6+s_{n}}\). Prove that \(\left(s_{n}\right)\) converges, and find its limit.

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