Find the Sum of the Infinite Geometric Series $\sum _ { n = 0 } ^ { \infty } - 3 \left( - \frac { 1 } { 5 } \right) ^ { n }$

question 371

Multiple Choice

Find the sum of the infinite geometric series. $\sum _ { n = 0 } ^ { \infty } - 3 \left( - \frac { 1 } { 5 } \right) ^ { n }$

• A) \(\frac { 1 } { 2 }\)
• B) \(\frac { 5 } { 2 }\)
• C) \(- \frac { 5 } { 2 }\)
• D) \(- \frac { 1 } { 2 }\)
• E)undefined

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Definitions:

Metric Unit

A standard unit of measure in the International System of Units (SI), used globally for scientific and standard measurements.

Micro-

A prefix denoting a factor of one millionth, or pertaining to small, often microscopic, phenomena.

Divided

Separated into parts or pieces; often referring to opinions, countries, or territories.

Amoxicillin

A broad-spectrum antibiotic used to treat various bacterial infections by inhibiting cell wall synthesis.