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18 April, 00:12

Find the first four iterates of the function f (z) = z^2-2-2t with an initial values of z0=2+i.

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  1. 18 April, 03:55
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    When i = 1

    z = 3

    f (3) = 7 - 2t

    When i = 2

    z = 4

    f (4) = 14 - 2t

    When i = 3

    z = 5

    f (5) = 23 - 2t

    When i = 4

    z = 6

    f (6) = 34 - 2t

    Therefore, the first four iterates are

    f (3) = 7 - 2t

    f (4) = 14 - 2t

    f (5) = 23 - 2t

    f (6) = 34 - 2t
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