Find the Sum of the Infinite Series $$\sum _ { j = 1 } ^ { \infty } \left( \frac { 7 } { 10 } \right) ^ { j }$$

question 65

Multiple Choice

Find the sum of the infinite series.​ $$\sum _ { j = 1 } ^ { \infty } \left( \frac { 7 } { 10 } \right) ^ { j }$$ ​

• A) \(- \frac { 7 } { 3 } j\) ​
• B) \(\frac { 7 } { 3 }\) ​
• C) \(- \frac { 7 } { 10 } j\)
• D) \(\frac { 7 } { 10 }\)
• E) \(- \frac { 7 } { 3 }\) ​

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Definitions:

Carl Jung

A Swiss psychiatrist and psychoanalyst who founded analytical psychology, known for his theories of the Collective Unconscious and archetypes.

Superego

A component of Sigmund Freud's psychoanalytic theory, representing the moral conscience and the internalization of societal norms and values.

Pleasure

A feeling of happiness, enjoyment, or satisfaction derived from an experience or activity.

Logical

Pertaining to the use of reason and clear thinking, often involving the systematic process of inference or deduction.