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

question 29

Multiple Choice

Solve.
-A complex number $z$ 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 $z = 0.6 i$ belong to the Mandelbrot set?

• A) Yes
• B) No

---

Definitions:

Rental Offset

A financial mechanism where rental income is used to offset or reduce mortgage payments, expenses, or other financial obligations related to the rental property.

Passive

Referring to income generated from activities in which the individual is not actively involved, often subject to different tax rules.

Recourse Liabilities

Debts for which the borrower is personally liable, meaning creditors can pursue the borrower's other assets if the collateral does not cover the debt.

Nonrecourse Liabilities

Nonrecourse liabilities are obligations where the lender's recovery options in case of default are limited to the collateral securing the loan, not the borrower's other assets.