Write the Word or Phrase That Best Completes Each Statement $$\left( \frac { 3 } { 4 } \right) ^ { n + 1 } < \frac { 3 } { 4 }$$

question 165

Essay

Write the word or phrase that best completes each statement or answers the question.
Use mathematical induction to prove the following statement for all positive integers n.
- $$\left( \frac { 3 } { 4 } \right) ^ { n + 1 } < \frac { 3 } { 4 }$$

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Definitions:

Visible Object

An entity or item that can be seen or perceived visually by the human eye.

Touchable Object

An object that can be perceived or interacted with through the sense of touch.

Abstractness

A quality of being non-concrete or theoretical, representing ideas or concepts rather than physical realities.

Manufactured Item

A product that has been produced from raw materials through manual labor or machinery, often within an industrial or factory setting, designed for consumer use or further processing.