Determine Whether the Sequence Defined By $a _ { n } = 5 + 8 ( - 1 ) ^ { n }$

question 25

Multiple Choice

Determine whether the sequence defined by $a _ { n } = 5 + 8 ( - 1 ) ^ { n }$ converges or diverges. If it converges, find its limit.

• A) 13
• B) 5
• C) Diverges
• D) \(- 3\)

---

Definitions:

Intuitive Thought

A process of thinking that involves knowing something without analytic reasoning, often based on experiences and feelings.

Analytic Thought

The process of logical reasoning and problem solving, breaking down complex information into smaller components for assessment.

PISA

The Programme for International Student Assessment, an international survey evaluating education systems worldwide by testing the skills and knowledge of 15-year-old students.

Antisocial Students

Students who exhibit behaviors that are hostile or disruptive to social norms and interactions.