Find the Value Of $\frac{2}{5}+\left(\frac{2}{5}\right)^{2}+\ldots+\left(\frac{2}{5}\right)^{100}$ To 2 Decimal Places

question 54

Short Answer

Find the value of $\frac{2}{5}+\left(\frac{2}{5}\right)^{2}+\ldots+\left(\frac{2}{5}\right)^{100}$ to 2 decimal places.

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Definitions:

Maximizes Satisfaction

Refers to the act of choosing options that result in the highest level of satisfaction or utility for an individual or group, based on preferences.

Rational

Behaviors and decisions that maximize a person’s chances of achieving his or her goals. See rational behavior.

Unlimited Money Incomes

A hypothetical scenario where individuals or entities have access to an infinite amount of money resources.

Total Utility

The total satisfaction received from consuming a given total quantity of a good or service.