Solve the Problem $\mathrm { a } _ { \mathrm { n } } = 20 ( 3 ) ^ { \mathrm { n } - 1 }$

question 20

Multiple Choice

Solve the problem.
-The population size of a culture of bacteria triples every day such that its size is modeled by the sequence $\mathrm { a } _ { \mathrm { n } } = 20 ( 3 ) ^ { \mathrm { n } - 1 }$ , where $\mathrm { n }$ is the number of the day just beginning. Find the size of the culture at the beginning of the third day and the size of the culture originally.

• A) 540 bacteria; 60 bacteria originally
• B) 180 bacteria; \(6 \frac { 2 } { 3 }\) bacteria originally
• C) 540 bacteria; 20 bacteria originally
• D) 180 bacteria; 20 bacteria originally

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Definitions:

Risk Profile

An evaluation of an individual's or organization's willingness to take risks, as well as their financial ability to manage the impact of those risks.

Incremental

Describing something as increasing or adding on, often in small or gradual steps.

Risk Analysis

The process of identifying, assessing, and prioritizing risks followed by coordinated efforts to minimize, monitor, and control the probability or impact of unfortunate events.

Financial Option

A contract that gives the buyer the right, but not the obligation, to buy or sell an underlying asset at a specified price on or before a specified date.