Determine If the Series $\sum _ { n = 1 } ^ { \infty } \frac { 6 ^ { n } } { n ^ { 100 } }$

question 16

Essay

Determine if the series $\sum _ { n = 1 } ^ { \infty } \frac { 6 ^ { n } } { n ^ { 100 } }$ converges or diverges by the Ratio Test or Root Test.

---

Definitions:

Utility

A measure of satisfaction, usefulness, or value that an individual obtains from consuming a good or service.

Avocado

A fruit with a creamy texture that grows in warm climates, rich in monounsaturated fats and nutrients.

Crab Dip

A savory spread or appetizer made primarily from crab meat mixed with cream cheese, herbs, and spices.

Crackers

A dry, thin baked food typically made from flour and seasoned.