Consider the Series ​

question 108

Short Answer

Consider the series
​ .
​
Determine whether the geometric series converges or diverges.
​
If it converges, find its sum.

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Definitions:

Apprehension

The fear or anticipation, especially of a future problem or trouble; in law, it can also refer to the arrest of a person.

Assault

An intentional act that creates a reasonable apprehension of imminent harmful or offensive contact.

Liability

Legal responsibility or obligation to another party, usually in terms of damages or debts.

Battery

A legal violation characterized by the illegal physical realization of a threat, separate from assault that encompasses the action of inducing fear of that contact.