Write the Word or Phrase That Best Completes Each Statement $$1 + 3 + 3 ^ { 2 } + \ldots + 3 ^ { n - 1 } = \frac { 3 ^ { n } - 1 } { 2 }$$

question 79

Essay

Write the word or phrase that best completes each statement or answers the question.
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:

Anus

Outlet of the digestive tube.

Mouth

In humans, organ of the digestive tract where food is chewed and mixed with saliva.

pH

A scale used to specify the acidity or basicity of an aqueous solution, with lower values being more acidic and higher values more basic.

Protein Digestion

The process of breaking down proteins into their constituent amino acids or peptides, primarily in the stomach and small intestine.