Determine the Sum of the Following Infinite Series $\sum _ { n = 1 } ^ { \infty } \frac { 2 ^ { n } + ( - 1 ) ^ { n } } { 3 n }$

question 41

Short Answer

Determine the sum of the following infinite series: $\sum _ { n = 1 } ^ { \infty } \frac { 2 ^ { n } + ( - 1 ) ^ { n } } { 3 n }$ Enter just a reduced fraction of form $\frac { a } { b }$ .

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Definitions:

Vicarious Liability

A legal principle under which a party can be held liable for the wrongful actions of another party, even if the first party did not commit the act themselves.

Fiduciary Duty

A legal obligation of one party to act in the best interest of another when managing the other's money or property, often found in trustee-beneficiary relationships.

Duty Of Loyalty

An agent must subordinate his personal concerns by (1) avoiding conflicts of interest with the principal and (2) not disclosing confidential information received from the principal.

Joint And Several

Legal terminology indicating that all parties involved can be collectively or individually responsible for the full amount of liability.