Use Mathematical Induction to Prove the Following for Every Positive $n$

question 16

Essay

Use mathematical induction to prove the following for every positive integer $n$ .
$$\sum _ { i = 1 } ^ { n } 36 i ^ { 5 } = 3 n ^ { 2 } ( n + 1 ) ^ { 2 } \left( 2 n ^ { 2 } + 2 n - 1 \right)$$

Identify and understand various forms of sexual harassment and their implications.

Understand the concept of gender identity and related terminology.

Recognize effective methods for detecting and preventing STIs.

Comprehend the impact of physical changes or interventions on sexuality and sexual identity.

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Definitions:

Equilibrium Price

The price at which the quantity of a product offered is equal to the quantity of the product demanded.

Domestic Price

The price of goods or services within a country's borders, influenced by local supply and demand conditions.

Exports

Goods or services sold by a country to buyers located in other countries.

Export Supply

The total amount of goods and services a country's producers are willing and able to sell abroad at a given price level.