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-A Complex Number zz Does Not Belong to the Mandelbrot Set If Any of Mandelbrot

question 24

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-A complex number zz does not belong to the Mandelbrot set if any of the complex numbers in the sequence z,z2+z,(z2+z) 2+z,[(z2+z) 2+z]2+z,z , z ^ { 2 } + z , \left( z ^ { 2 } + z \right) ^ { 2 } + z , \left[ \left( z ^ { 2 } + z \right) ^ { 2 } + z \right] ^ { 2 } + z , \ldots has modulus exceeding 2. Does z=0.3+0.2iz = 0.3 + 0.2 i belong to the Mandelbrot set?

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