Use Mathematical Induction to Prove the Following

question 42

Essay

Use mathematical induction to prove the following.
-If a is a constant and 0 < a < 1, then an < 1.

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Definitions:

Positive Punisher

A stimulus that, when introduced after a behavior, decreases the likelihood of that behavior occurring again.

Negative Punisher

A stimulus that, when removed after a behavior, decreases the likelihood of that behavior occurring in the future.

Positive Punishment

The addition of an unpleasant stimulus to decrease the likelihood of a behavior's recurrence.

Negative Punishment

A behavior modification technique where a desirable stimulus is removed following an unwanted behavior, with the aim of decreasing that behavior in the future.