Use the Principle of Mathematical Induction to Show That the Statement

question 31

Essay

Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
-Use the Principle of Mathematical Induction to show that the statement "5 is a factor of 7n - 2n" is true for all
natural numbers. ( $$\left( \text { Hint: } 7 ^ { \mathrm { k } + 1 } - 2 ^ { \mathrm { k } + 1 } = 7 \left( 7 ^ { \mathrm { k } } - 2 ^ { \mathrm { k } } \right) + 5 \cdot 2 ^ { \mathrm { k } } \right)$$

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Definitions:

Major Organic Product

In organic chemistry reactions, it is the main product formed, characterized by being present in the greatest amount among products resulting from the conversion of reactants.

Structure

The arrangement or organization of parts within a whole, especially referring to the molecular or atomic arrangement in chemistry.

Major Organic Product

The primary organic compound resulting from an organic reaction, characterized by being produced in the highest yield.

Structure

The arrangement of atoms within a molecule which dictates its physical and chemical properties.