1 Answer

  1. Jerry- Reply

    2019-11-13

    While not a rigorous proof, you could experiment with programing by calculating k_0 = sqrt(6) and k_n+1 = sqrt (6 + k_n) for successively higher values of n.

    I think that you will find it converges pretty quickly to 3.

    You can also determine the value for convergence algebraically by squaring both sides which results in k^2 = 6 + k and then solving the quadratic.

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