Use the Formula for the Sum of the First N $\frac { 4 } { 3 } , \frac { 16 } { 3 } , \frac { 64 } { 3 } , \ldots$

question 298

Multiple Choice

Use the Formula for the Sum of the First n Terms of a Geometric Sequence
-Find the sum of the first five terms of the geometric sequence: $\frac { 4 } { 3 } , \frac { 16 } { 3 } , \frac { 64 } { 3 } , \ldots$

• A) \(\frac { 1364 } { 3 }\)
• B) \(\frac { 1360 } { 3 }\)
• C) \(\frac { 1364 } { 15 }\)
• D) \(\frac { 272 } { 3 }\)

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Definitions:

Consumer Surplus

The discrepancy between the total sum consumers are prepared and capable of paying for a good or service, and the total sum they end up paying.

Profit Maximize

The method through which a company identifies the optimal pricing and production volume to maximize its profits.

Output

Output is the total amount of goods or services produced by a company, sector, or economy within a certain period, indicating the level of productivity and capacity utilization.

Monopoly

A market structure characterized by a single seller who has exclusive control over the supply of a good or service, and where there are high barriers to entry for potential competitors.