Find the Sum of the Infinite Series $$\sum _ { i = 1 } ^ { \infty } 4 \left( \frac { 1 } { 10 } \right) ^ { i }$$

question 2

Multiple Choice

Find the sum of the infinite series.​ $$\sum _ { i = 1 } ^ { \infty } 4 \left( \frac { 1 } { 10 } \right) ^ { i }$$ ​

• A) \(\frac { 4 i } { 9 }\)
• B) \(\frac { 4 } { 9 }\)
• C) \(\frac { 9 i } { 4 }\)
• D) \(- \frac { 4 i } { 9 }\)
• E) \(\frac { 9 } { 4 }\)

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Definitions:

Rewards

Benefits, recognitions, or compensations offered or received as a result of an action or behavior.

Elicited

Brought about, provoked, or drawn out by a stimulus or action; in research, responses or actions that are drawn out by specific experimental conditions.

Emitted

Released or given off, often used in the context of light, heat, or sound.

Generalization

The process by which the brain applies previous learning to new situations that are similar but not identical.