Find the Sum of the Geometric Series, If Possible $$\sum _ { i = 1 } ^ { 8 } 7 \left( \frac { 4 } { 5 } \right) ^ { i - 1 }$$

question 101

Multiple Choice

Find the sum of the geometric series, if possible.
- $$\sum _ { i = 1 } ^ { 8 } 7 \left( \frac { 4 } { 5 } \right) ^ { i - 1 }$$

• A) \(\frac { 11836867 } { 390625 }\)
• B) \(\frac { 325089 } { 78125 }\)
• C) \(\frac { 432187 } { 15625 }\)
• D) \(\frac { 2275623 } { 78125 }\)

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Definitions:

The Holocaust

The systematic, state-sponsored persecution and annihilation of six million Jews by the Nazi regime and its collaborators during World War II.

Kurt Lewin

Known as the father of modern social psychology, he developed theories on group dynamics and organizational development.

Function

In mathematics, a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output; in general, an activity or purpose natural to or intended for a person or thing.

Situation

The set of environmental and contextual circumstances or conditions surrounding and affecting an event, action, or decision.