Use the Principle of Mathematical Induction to Show That the Statement

question 74

Essay

Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
- $$1 + 3 + 3 ^ { 2 } + \ldots + 3 ^ { n - 1 } = \frac { 3 ^ { n } - 1 } { 2 }$$

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Definitions:

Outliers

Observations that are significantly distant from the other observations in a data set, potentially indicating a measurement error or a different population.

Statistical Criteria

Standards or rules used in statistics to make decisions or interpretations about data, such as significance tests.

Sample

A subset of individuals, events, or items selected from a larger population used to conduct statistical analysis.

Pie Graph

A circular chart divided into sectors, each sector shows the relative size of some data.