A Sequence Is Defined By $a _ { n } = r ^ { n }$

question 291

Essay

A sequence is defined by $a _ { n } = r ^ { n }$ , where r is a constant. For what values of r will the sequence converge? What is the limit?

---

Definitions:

Strokes

Medical conditions that occur when the blood supply to part of the brain is interrupted or reduced, leading to brain damage and potential loss of functions.

Brain Diseases

Conditions that impair normal brain function, including neurodegenerative diseases such as Alzheimer's and Parkinson's.

Memory

The persistence of learning over time through the storage and retrieval of information.

Behavior Genetics Perspective

A field of study focused on understanding how genetic and environmental variables contribute to variations in behavior.