Determine whether or not the following series converges. If it converges, find its sum. 
Definitions:
Thalamus
A part of the brain located in the center of the cerebral hemisphere, which acts as a relay station for sensory information.
Epithalamus
A posterior segment of the diencephalon of the brain, involved in the regulation of sleep-wake cycles and the secretion of melatonin from the pineal gland.
Corpora Quadrigemina
Located in the midbrain, the corpora quadrigemina is composed of four colliculi - two superior and two inferior - involved in visual and auditory reflexes.
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