Use the Principle of Mathematical Induction to Show That the Statement

question 67

Essay

Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
- $$7 + 14 + 21 + \ldots + 7 n = \frac { 7 n ( n + 1 ) } { 2 }$$

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Definitions:

James Fennimore Cooper

An early 19th-century American writer, celebrated for his historical novels of frontier and Native American life, notably the "Leatherstocking Tales."

Western Settlement

The expansion and settlement of Americans into the western territories of the United States, particularly during the 19th century, often involving conflict with indigenous populations.

Free Africans

Refers to African individuals who were not enslaved, particularly during periods of widespread slavery.