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

---

Definitions:

Carbohydrates

Organic compounds, including sugars, starches, and fiber, which are a major source of energy for the body.

Energy Density

A measurement of the amount of energy (calories) in a particular weight or volume of food.

Fiber-Rich Diets

Eating plans focusing on foods high in dietary fiber, which can aid in digestion and improve heart health.

Nutrients

Essential substances obtained from food that are vital for body function and growth.