Use the Comparison Test to Determine If the Series Converges $$\sum _ { n = 1 } ^ { \infty } \frac { \sin n \cos n } { 4 ^ { n } }$$

question 41

Multiple Choice

Use the Comparison Test to determine if the series converges or diverges.
- $$\sum _ { n = 1 } ^ { \infty } \frac { \sin n \cos n } { 4 ^ { n } }$$

• A) converges
• B) diverges

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Definitions:

Operational Definitions

Specific explanations of abstract concepts or variables in terms of the observable and measurable procedures used to determine or measure them.

Variables

Elements or factors within a study or experiment that can change and potentially influence outcomes.

Scientific Method

A systematic process for gathering knowledge and testing scientific theories and hypotheses through observation and experimentation.

Hypothesis

A proposed explanation for a phenomenon, made as a starting point for further investigation, which can be tested through research and experimentation.