Use the Ratio Test to Determine the Convergence or Divergence $$\sum _ { n = 1 } ^ { \infty } \frac { n ^ { 6 } } { 10 ^ { n } }$$

question 106

Multiple Choice

Use the Ratio Test to determine the convergence or divergence of the series. $$\sum _ { n = 1 } ^ { \infty } \frac { n ^ { 6 } } { 10 ^ { n } }$$

• A) converges
• B) diverges
• C) Ratio Test inconclusive

---

Definitions:

Profit

The financial gain obtained when the revenue from business activities exceeds the expenses, costs, and taxes needed to sustain the activity.

Perfectly Price Discriminate

A pricing strategy where a seller charges the maximum possible price for each unit consumed that the buyer is willing to pay.

Output

Output refers to the total amount of goods and services produced by a company, industry, or economy within a given period.

Profit-Maximizing Price

The optimal selling price for a product or service that allows a company to achieve the highest possible profit.