Find the Sum $$\sum _ { \mathrm { k } = 1 } ^ { 5 } \left( \frac { 1 } { 3 } \right) ( 4 ) ^ { \mathrm { k } }$$

question 174

Multiple Choice

Find the sum.
- $$\sum _ { \mathrm { k } = 1 } ^ { 5 } \left( \frac { 1 } { 3 } \right) ( 4 ) ^ { \mathrm { k } }$$

• A) \(\frac { 1,373 } { 3 }\)
• B) \(\frac { 1,385 } { 3 }\)
• C) \(\frac { 1,364 } { 3 }\)
• D) \(\frac { 1,376 } { 3 }\)

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Definitions:

Zero-Sum Game

A zero-sum game refers to a situation in economic theory where one participant's gain or loss is exactly balanced by the losses or gains of the other participants.

Gaining Nothing

A situation where an action results in no net benefit or improvement compared to the original state or to a different action.

Strategy

A plan designed to achieve specific long-term objectives, often involving a series of actions or tactics.

Advertising

The action of calling public attention to products, services, or events through paid announcements by an identified sponsor.