Use Mathematical Induction to Prove That the Sum of a Partial

question 74

Essay

Use mathematical induction to prove that the sum of a partial geometric sequence is $\frac { a \left( 1 - r ^ { n } \right) } { 1 - r }$ .

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Definitions:

Sympathetic Nervous System

Part of the autonomic nervous system that prepares the body for physical activity by increasing heart rate, constricting blood vessels, and raising blood pressure, among other functions.

Sympathetic Nervous

This term is incomplete. However, it might refer to the "Sympathetic Nervous System," which is part of the autonomic nervous system responsible for the body's 'fight or flight' response.

Somatic Nervous

Part of the peripheral nervous system that controls voluntary movements of the body through control of skeletal muscles.

Parasympathetic Nervous

Part of the autonomic nervous system that conserves energy as it slows the heart rate, increases intestinal and gland activity, and relaxes sphincter muscles in the gastrointestinal tract.