Solve
-A Complex Number $\mathrm { z }$ Does Not Belong to the Mandelbrot Set If Any of Belong

question 146

Multiple Choice

Solve.
-A complex number $\mathrm { z }$ does not belong to the Mandelbrot set if any of the complex numbers in the sequence $z , z ^ { 2 } + z , \left( z ^ { 2 } + z \right) ^ { 2 } + z , \left[ \left( z ^ { 2 } + z \right) ^ { 2 } + z \right] ^ { 2 } + z , \ldots$ has modulus exceeding 2 . Does $z = 0.8$ belong to the Mandelbrot set?

• A) Yes
• B) No

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Definitions:

Nitric Acid

A highly corrosive and toxic strong acid with the formula HNO3, used in the production of fertilizers, explosives, and in various nitration processes.

Formal Charges

The assignment of a charge to an atom within a molecule based on the assumption that electrons in chemical bonds are evenly distributed amongst atoms.

Lewis Structure

A diagram showing the bonding between atoms of a molecule and the lone pairs of electrons that may exist in the molecule.

Tert-Butyl Alcohol

An organic compound with the formula (CH3)3COH, used as a solvent and in the preparation of other compounds.