Write the Word or Phrase That Best Completes Each Statement $3 + 8 + 13 + \ldots + ( 5 n - 2 ) = \frac { n } { 2 } ( 5 n + 1 )$

question 46

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.
- $3 + 8 + 13 + \ldots + ( 5 n - 2 ) = \frac { n } { 2 } ( 5 n + 1 )$

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Definitions:

Evolutionary History

The chronology of the development and diversification of organisms and their genetic traits over geological time.

Ecological Specialization

The adaptation of an organism or species to thrive in a specific environmental condition or utilize a particular resource.

Kawecki's Experiments

Research conducted by Tadeusz J. Kawecki that involves studying the effects of natural selection and adaptation in laboratory settings, often using Drosophila melanogaster (fruit flies) as a model organism.

Learning

A process that leads to a change in behavior or knowledge due to experience.