Write the Word or Phrase That Best Completes Each Statement $$4 + 8 + 12 + \ldots + 4 n = 2 n ( n + 1 )$$

question 38

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.
- $$4 + 8 + 12 + \ldots + 4 n = 2 n ( n + 1 )$$

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Definitions:

Patronage Model

A crowdfunding model where backers do not expect any direct return for their donation or investment.

Crowdfunders

Individuals or groups who fund projects or ventures through small contributions from a large number of people, typically via the internet.

Financial Support

Monetary assistance provided to individuals, organizations, or countries, often aimed at promoting economic development or providing relief during hardships.

Kickstarter

A crowdfunding platform where creators present projects to the public to raise capital from a wide audience of backers.