Find the Sum of the Following Infinite Geometric Series $$- 14 + 13 - \frac { 169 } { 14 } + \frac { 2197 } { 196 } - \ldots$$

question 20

Multiple Choice

Find the sum of the following infinite geometric series.
$$- 14 + 13 - \frac { 169 } { 14 } + \frac { 2197 } { 196 } - \ldots$$

• A) \(- \frac { 27 } { 196 }\)
• B) \(- \frac { 1 } { 196 }\)
• C) \(\frac { 27 } { 196 }\)
• D) \(- 14\)
• E) \(- \frac { 196 } { 27 }\)

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Definitions:

Thoracic Region

The part of the spine that is located in the chest area, consisting of twelve vertebrae that are connected to the ribs.

Cutaneous Sensory

Refers to the sensory system related to the skin, responsible for detecting temperature, pressure, and pain.

Reflex Responses

Automatic, involuntary responses of the nervous system to stimuli, requiring no conscious input.

Ascending Tracts

Nerve pathways that go upwards in the spinal cord and carry sensory information from the body to the brain.