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:

Deterministic

The philosophical view that all events, including moral choices, are completely determined by previously existing causes.

Conscious Free Will

The concept that individuals have the ability to make choices and decisions consciously and voluntarily.

Fixed-Ratio Schedule

A type of reinforcement schedule in operant conditioning where a response is reinforced only after a specified number of responses have occurred.

Reinforcer

Any stimulus that, when presented after a behavior, increases the likelihood of that behavior being repeated.