The Nth Term of a Sequence Is Given $$a _ { n } = \frac { 2 ^ { n } } { ( n + 1 ) ! } ; a _ { 4 }$$

question 228

Multiple Choice

The nth term of a sequence is given. Find the indicated term.
- $$a _ { n } = \frac { 2 ^ { n } } { ( n + 1 ) ! } ; a _ { 4 }$$

• A) \(\frac { 16 } { 5 }\)
• B) \(\frac { 1 } { 15 }\)
• C) 2
• D) \(\frac { 2 } { 15 }\)

---

Definitions:

Second-Highest Willingness

The concept of determining the price or value of an item based on the highest bid that did not win in an auction or competitive bidding process.

Winner's Curse

A phenomenon in auctions, suggesting that the winning bidder tends to overpay due to incomplete information or overly optimistic value assessments.

Sealed-Bid Auction

A type of auction where all bidders simultaneously submit sealed bids to the auctioneer, and the highest bidder wins without knowing the bids of the others.

Private Values

A situation in auctions or market transactions where the value of an item is known only to the individual bidder or participant, not to the other bidders or the seller.