Solve
-A Complex Number Z Does Not Belong to the Mandelbrot

question 221

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 $\mathrm { z } = 0.6 - 0.7 \mathrm { i }$ belong to the Mandelbrot set?

• A) Yes
• B) No

---

Definitions:

Student Depression

A mental health disorder characterized by persistently depressed mood or loss of interest in activities, affecting academic and social functioning of students.

Mental Illnesses

Health conditions involving changes in emotion, thinking or behavior (or a combination of these) that cause distress and difficulty in functioning.

Student Depression

A mental health condition characterized by feelings of intense sadness, hopelessness, and despair, affecting academic performance and social interactions among students.

Bandeirantes

Adventurous explorers and settlers in Brazil during the 17th century, known for expanding the country's borders by venturing into unmapped interior regions.