Determine Whether the Geometric Series Converges or Diverges $$\sum _ { n = 0 } ^ { \infty } 5 ^ { n } 6 ^ { - n + 1 }$$

question 32

Multiple Choice

Determine whether the geometric series converges or diverges.If it converges, find its sum. $$\sum _ { n = 0 } ^ { \infty } 5 ^ { n } 6 ^ { - n + 1 }$$

• A) 30
• B) 36
• C) 5
• D) Diverges

---

Definitions:

Cognitive Processes

The mental activities involved in acquiring, storing, and manipulating information, including perception, memory, and problem-solving.

Vicarious Reinforcement

Learning through observing the consequences of another person's behavior being rewarded or punished.

Observational Learning

The process of learning behaviors and norms by watching and imitating others.

Imitate

The action of copying or mimicking the behaviors, actions, or appearances of someone else.