Find the Sum of the Series as a Function of X

question 114

Multiple Choice

Find the sum of the series as a function of x.
- $$\sum _ { n = 1 } ^ { \infty } \left( \frac { x - 6 } { 3 } \right) ^ { n }$$

• A) \(- \frac { x - 6 } { x - 9 }\)
• B) \(- \frac { x - 6 } { x + 9 }\)
• C) \(- \frac { x - 6 } { x + 3 }\)
• D) \(- \frac { x - 6 } { x - 15 }\)

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Definitions:

Box of Tools

Metaphorically refers to a set of skills, strategies, or resources available to individuals or organizations for performing tasks or solving problems.

Economic Goods

Items or services that have a price and are scarce in relation to their demand, thus necessitating economic decision-making.

Scarce Resources

Raw materials, labor, and capital that are limited in availability, requiring societies to make decisions on their allocation and use.

Unit-Costs

Expenses a firm faces for producing, holding, and marketing one unit of a given product or service.