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Consider the Series ​

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

Determine whether the geometric series converges or diverges.

If it converges, find its sum.


Definitions:

Embolus

Plug, composed of a detached clot, a mass of bacteria, or another foreign body, occluding a blood vessel.

Sclerosis

A condition characterized by the hardening or stiffening of a body part, often referring to tissue.

Developmental Age

A measure of a child's growth or development, often compared to typical age milestones.

Electroencephalogram (EEG)

A diagnostic method used to measure the electrical activity of the brain.

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