Use the Ratio Test to Determine If the Series Converges $$\sum _ { n = 1 } ^ { \infty } n ! e ^ { - 7 n }$$

question 312

Multiple Choice

Use the Ratio Test to determine if the series converges or diverges.
- $$\sum _ { n = 1 } ^ { \infty } n ! e ^ { - 7 n }$$

• A) Converges
• B) Diverges

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Definitions:

Demand Curve

A graph showing the relationship between the price of a good and the quantity demanded, typically downward sloping from left to right.

Straight Line Demand

An economic model where the demand for a product changes at a constant rate relative to price changes, depicted as a straight line on a graph.

Important Factors

Critical elements or variables that significantly influence an outcome or determine the success of a particular process or activity in economics.

Price Affect Demand

The relationship between the price of a good or service and the willingness of consumers to buy it, where typically, a higher price leads to lower demand and a lower price leads to higher demand.