Evaluate the Series, If It Converges $$\sum _ { k = 1 } ^ { \infty } \left( \frac { 3 } { 8 } \right) ^ { k }$$

question 25

Multiple Choice

Evaluate the series, if it converges.
- $$\sum _ { k = 1 } ^ { \infty } \left( \frac { 3 } { 8 } \right) ^ { k }$$

• A) Does not converge.
• B) \(\frac { 3 } { 5 }\)
• C) \( - \frac { 3 } { 5 }\)
• D) \(\frac { 8 } { 5 }\)

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Definitions:

Human Skin

The body’s outer covering, which protects against heat, sunlight, injury, and infection while regulating body temperature and storing water, fat, and vitamin D.

Mechanoreceptors

Sensory receptors that respond to mechanical pressure or distortion, playing key roles in sensing touch, pressure, and sound.

Receptor Type

Classifies receptors based on their mechanism of action, location, or the specific molecule they bind to, essential for cellular communication and processes.

Photoreceptors

Photoreceptors are specialized cells in the retina of the eye that convert light into electrical signals, enabling the perception of images, colors, and light intensity.