Find the Partial Sum $\sum_{i-1}^{8} 3\left(-\frac{1}{4}\right)^{i-1}$ A) $\frac{9}{16,384}$ B) $\frac{291}{16,384}$ C) $\frac{39,321}{16,384}$ D) $\frac{3}{16,384}$ E) $\frac{99}{16,384}$

question 76

Multiple Choice

Find the partial sum. $\sum_{i-1}^{8} 3\left(-\frac{1}{4}\right) ^{i-1}$

• A) \(\frac{9}{16,384}\)
• B) \(\frac{291}{16,384}\)
• C) \(\frac{39,321}{16,384}\)
• D) \(\frac{3}{16,384}\)
• E) \(\frac{99}{16,384}\)

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Definitions:

Auditory Canal

A tubular structure of the outer ear that conducts sound waves from the external environment to the tympanic membrane (eardrum).

Olfaction

The sense of smell, a chemical sensing system that allows the detection of volatile substances in the environment.

Gustation

The sense of taste, which is one of the five sensory systems and is initiated by flavor compounds stimulating the taste buds on the tongue.

Chemical Senses

Sense modalities including taste and smell, which involve the detection of chemicals in the environment and play a critical role in the experiences of flavor and scent.