Solve the Problem $\mathrm { n }$ Represents a 30 -Minute Interval

question 161

Multiple Choice

Solve the problem.
-Suppose that certain bacteria can double their size and divide every 30 minutes. Write a recursive sequence that describes this growth where each value of $\mathrm { n }$ represents a 30 -minute interval. Let $\mathrm { a } _ { 1 }$ $= 498$ represent the initial number of bacteria present.

• A) \(\mathrm { a } _ { 1 } = 498 ; \mathrm { a } _ { \mathrm { n } } = \frac { 1 } { 2 } \mathrm { a } _ { \mathrm { n } - 1 }\) for \(\mathrm { n } > 1\).
• B) \(a _ { n } = 2 a _ { 1 }\) for all values of \(n\).
• C) \(a _ { 1 } = 498 ; a _ { n } = 2 a _ { n + 1 }\) for \(n > 1\).
• D) \(\mathrm { a } _ { 1 } = 498 ; \mathrm { a } _ { \mathrm { n } } = 2 \mathrm { a } _ { \mathrm { n } - 1 }\) for \(\mathrm { n } > 1\).

---

Definitions:

Private-Values Auction

A type of auction in which each bidder knows their own valuation of the item for sale, but this valuation is private and may differ from that of other bidders.

English Auction

A type of auction where bidders openly bid against one another, and the item is sold to the highest bidder.

Examine

To inspect or scrutinize carefully.

Vickrey Auction

A type of sealed-bid auction where the highest bidder wins but pays the price bid by the second-highest bidder.