Given Are the First Three Terms of a Sequence That $\frac { 2 } { 3 } , \frac { 8 } { 3 } , \frac { 32 } { 3 }$

question 200

Multiple Choice

Given are the first three terms of a sequence that is geometric. Find a1 and r.
- $\frac { 2 } { 3 } , \frac { 8 } { 3 } , \frac { 32 } { 3 }$

• A) \(a _ { 1 } = \frac { 2 } { 3 } ; r = 4\)
• B) \(\mathrm { a } _ { 1 } = \frac { 2 } { 3 } ; \mathrm { r } = 5\)
• C) \(a _ { 1 } = \frac { 2 } { 3 } ; r = 1\)
• D) \(a _ { 1 } = \frac { 2 } { 3 } ; r = 6\)

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Definitions:

Sure Thing

A situation or outcome that is guaranteed to occur or a bet that is certain to win, often used in the context of investments or decisions with a predictable outcome.

Weighted Average

Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set, assigning weights to some of the numbers more than others.

Expected Value

The predicted value of a variable, calculated as a sum of all possible values each multiplied by the probability of its occurrence.

Unit Of Measure

A standard quantity used in measuring and expressing the quantity of an element, substance, or phenomenon.