Use the Principle of Mathematical Induction to Prove That $$1 + 3 + 9 + 27 + \cdots + 3 ^ { n } = \frac { 3 ^ { n + 1 } - 1 } { 2 } \text { for all } n \geq 0$$

question 4

Short Answer

Use the Principle of Mathematical Induction to prove that $$1 + 3 + 9 + 27 + \cdots + 3 ^ { n } = \frac { 3 ^ { n + 1 } - 1 } { 2 } \text { for all } n \geq 0$$

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Definitions:

Opportunity Cost

The dues for not selecting the following most suitable option when making decisions.

Point D

Another specific point on a graph or economic model, indicative of a different state or condition than Point C, useful in comparative analysis.

Point C

Typically used in economics and finance as a specific point on a graph illustrating an equilibrium, costing or other calculated value.

Production Possibilities Curve

A graphical representation that shows the maximum combination of two goods or services that can be produced with available resources and technology.