The Sum of the Terms of the Infinite Geometric Series

question 29

Multiple Choice

The sum of the terms of the infinite geometric series 1, 0.78, 0.78², 0.78³, ...is closest to

• A)0.56.
• B)infinity.
• C)4.55.
• D)1.78.
• E)128.21.

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Definitions:

Average Number

Represents the mean or central value of a set of numbers, calculated by dividing the sum of all the values by the number of values.

Poisson Distribution

A probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space.

Negative Exponential Distribution

A probability distribution used to model time between events in a Poisson process, indicating a constant rate of occurrence.

Average Arrival Rate

A metric used to measure the rate at which entities (customers, goods, etc.) arrive at a facility or system over a specified period.